Pengcheng Niu

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All published works

Action	Title	Year	Authors
+ PDF Chat	MiniMax-01: Scaling Foundation Models with Lightning Attention	2025	MiniMax Ao Li Bin Gong Bo Yang B. S. Shan Chang Liu Zhu C Chunhao Zhang Cong Guo Da Chen
+	On Maillet conjecture for even integers	2024	Pengcheng Niu Junli Zhang
+ PDF Chat	On a Conjecture of Cai–Zhang–Shen for Figurate Primes	2023	Junli Zhang Pengcheng Niu
+	Interior pointwise <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e37" altimg="si2.svg"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:math> regularity for fully nonlinear elliptic equations	2022	Duan Wu Pengcheng Niu
+ PDF Chat	Interval Oscillation Theorems for the Weighted <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>p</mi> </math>-Sub-Laplacian Equation in the Heisenberg Group	2022	Duan Wu Pengcheng Niu
+	C1,-regularity for quasilinear degenerate elliptic equation with a drift term on the Heisenberg group	2022	Junli Zhang Pengcheng Niu
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mi>γ<!-- γ --></mml:mi> </mml:mrow> </mml:msup> </mml:math> regularity for fully nonlinear elliptic equations on a convex polyhedron	2022	Duan Wu Pengcheng Niu
+	Pointwise boundary differentiability on Reifenberg domains for fully nonlinear elliptic equations	2021	Duan Wu Pengcheng Niu
+	A Priori Bounds and the Existence of Positive Solutions for Weighted Fractional Systems	2021	Pengyan Wang Pengcheng Niu
+ PDF Chat	An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group	2021	Duan Wu Pengcheng Niu
+	A Direct Method of Moving Planes to Fractional Power SubLaplace Equations on the Heisenberg Group	2021	Xinjing Wang Pengcheng Niu
+	Liouville theorems to semi-linear degenerate elliptic equation of generalized Baouendi-Grushin vector fields	2021	Qixiong Zhang Junqiang Han Pengcheng Niu Yaluo Xu
+	New regularity criteria for the 3D magneto‐micropolar fluid equations in Lorentz spaces	2021	Zhouyu Li Pengcheng Niu
+	Symmetric Properties for Choquard Equations Involving Fully Nonlinear Nonlocal Operators	2021	Pengyan Wang Li Chen Pengcheng Niu
+ PDF Chat	Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group	2020	Junli Zhang Pengcheng Niu
+ PDF Chat	Notes on Liouville type theorems for the stationary compressible Navier–Stokes equations	2020	Zhouyu Li Pengcheng Niu
+ PDF Chat	Asymptotics in a two-species chemotaxis system with logistic source	2020	Wenji Zhang Pengcheng Niu
+	An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator	2020	Xuewen Wu Pengcheng Niu Guangsheng Wei
+	Remarks on Liouville type theorems for the 3D stationary MHD equations	2020	Zhouyu Li Pan Liu Pengcheng Niu
+ PDF Chat	Regularity to a Kohn-Laplace Equation with Bounded Coefficients on the Heisenberg Group	2020	Junli Zhang Junli Zhang Pengcheng Niu X. Wang
+	Local boundedness for minimizers of convex integral functionals in metric measure spaces	2020	Huiju Wang Pengcheng Niu
+	Weighted higher order exponential type inequalities in metric spaces and applications	2020	Huiju Wang Pengcheng Niu
+ PDF Chat	Non-existence for a semi-linear fractional system with Sobolev exponents via direct method of moving spheres	2020	Xiaoxue Ji Pengcheng Niu
+	Liouville type Theorems for the 3D stationary Hall‐MHD equations	2020	Zhouyu Li Pengcheng Niu
+	Reconstructing real symmetric matrices from eigenvalues of finite dimensional perturbations	2020	Xuewen Wu Pengcheng Niu Guangsheng Wei
+	Asymptotic behavior in a quasilinear chemotaxis-growth system with indirect signal production	2020	Wenji Zhang Suying Liu Pengcheng Niu
+	Notes on Liouville type Theorems for the stationary compressible Navier-Stokes equations	2020	Zhouyu Li Pengcheng Niu
+ PDF Chat	Non-existence results for cooperative semi-linear fractional system via direct method of moving spheres	2019	Xiaoxue Ji Pengcheng Niu Pengyan Wang
+	Large time behavior in a chemotaxis model with logistic growth and indirect signal production	2019	Wenji Zhang Pengcheng Niu Suying Liu
+	Symmetric properties of positive solutions for fully nonlinear nonlocal system	2019	Pengyan Wang Pengcheng Niu
+	Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation	2019	Zhouyu Li Pan Liu Pengcheng Niu
+	On a Conjecture of Cai-Zhang-Shen for Figurate Primes	2019	Pengcheng Niu
+	On some Liouville type Theorems for the stationary MHD and Hall-MHD equations	2019	Zhouyu Li Pan Liu Pengcheng Niu
+ PDF Chat	Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group	2019	Xinjing Wang Xinjing Wang Pengcheng Niu
+	Symmetric properties for Choquard equations involving fully nonlinear nonlocal operator	2019	Pengyan Wang Li Chen Pengcheng Niu
+	Global well-posedness and Large Time Asymptotic Behavior of Strong Solutions to the Cauchy Problem of the 2-D MHD equation	2019	Zhouyu Li Pan Liu Pengcheng Niu
+ PDF Chat	Liouville's theorem for a fractional elliptic system	2018	Pengyan Wang Pengcheng Niu
+ PDF Chat	Symmetry and nonexistence of positive solutions to fractional <i>p</i>-Laplacian equations	2018	Leyun Wu Pengcheng Niu
+	Regularity results for quasilinear degenerate elliptic obstacle problems in Carnot groups	2018	Guangwei Du Pengcheng Niu Junqiang Han
+	A Liouville theorem for the semilinear fractional CR covariant equation on the heisenberg group	2018	Xinjing Wang Xuewei Cui Pengcheng Niu
+	Positive Solutions to Nonlinear Systems Involving Fully Nonlinear Fractional Operators	2018	Pengcheng Niu Leyun Wu Xiaoxue Ji
+	Interior regularity for degenerate equations with drift on homogeneous groups	2018	Guangwei Du Junqiang Han Pengcheng Niu
+ PDF Chat	A Liouville type theorem to an extension problem relating to the Heisenberg group	2018	Xinjing Wang Pengcheng Niu Xuewei Cui
+	Harnack’s Inequality and Applications of Quasilinear Degenerate Elliptic Equations with Rough and Singular Coefficients	2017	Pengcheng Niu Leyun Wu
+	Several logarithmic Caffarelli–Kohn–Nirenberg inequalities and applications	2017	Tingfu Feng Pengcheng Niu Jing Qiao
+	A Note on Proof of Riemann Hypothesis via Eigenvalue Problems	2017	Pengcheng Niu
+	On Nontrivial Zeros of Riemann Zeta Function	2017	Pengcheng Niu
+	A proof of Riemann Hypothesis	2017	Pengcheng Niu
+ PDF Chat	Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift	2017	Yuexia Hou Pengcheng Niu
+	A Nash Type result for Divergence Parabolic Equation related to Hormander's vector fields	2017	Lingling Hou Pengcheng Niu
+ PDF Chat	A direct method of moving planes for a fully nonlinear nonlocal system	2017	Pengyan Wang Pengcheng Niu
+	A proof of Riemann Hypothesis	2017	Pengcheng Niu Junli Zhang
+	Green functions for weighted subelliptic p-Laplace operator constructed by Hörmander's vector fields	2016	Leyun Wu Pengcheng Niu
+	Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems	2016	Yan Dong Pengcheng Niu
+ PDF Chat	Higher-order Fefferman-Poincaré type inequalities and applications	2015	Kelei Zhang Pengcheng Niu
+	Weighted Sobolev–Morrey estimates for hypoelliptic operators with drift on homogeneous groups	2015	Yuexia Hou Pengcheng Niu
+	Orlicz Regularity for Non-Divergence Parabolic Systems with Partially Vmo Coefficients	2015	Maochun Zhu Pengcheng Niu Xiaojing Feng
+	Symmetry and nonexistence of positive solutions of integral systems with Hardy terms	2014	Dongyan Li Pengcheng Niu Ran Zhuo
+ PDF Chat	GLOBAL WEAK MORREY ESTIMATES FOR SOME ULTRAPARABOLIC OPERATORS OF KOLMOGOROV-FOKKER-PLANCK TYPE	2014	Xiaojing Feng Pengcheng Niu Maochun Zhu
+	Nonexistence of Positive Solutions for an Integral Equation Related to the Hardy-Sobolev Inequality	2014	Dongyan Li Pengcheng Niu Ran Zhuo
+	Existence of optimizers of the Stein-Weiss inequalities on Carnot groups	2014	Tingxi Hu Pengcheng Niu
+ PDF Chat	WEAK MORREY ESTIMATES FOR WEAK SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS RELATED TO HÖRMANDER’S VECTOR FIELDS	2014	Xuewei Cui Pengcheng Niu Xiaoying Zhang
+	Global Morrey estimates for a class of Ornstein-Uhlenbeck operators	2014	Xiaojing Feng Pengcheng Niu
+ PDF Chat	High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential	2014	Pengcheng Niu Kelei Zhang
+	Some New Inequalities of Dirichlet Eigenvalues for Laplace Operator with any Order	2014	Na Huang Pengcheng Niu
+	Schauder estimates for solutions of sub-Laplace equations with Dini terms	2014	Tingxi Hu Pengcheng Niu
+	Higher gradients estimates in Morrey spaces for weak solutions to linear ultraparabolic equations	2014	Yan Dong Pengcheng Niu
+	Regularity for weak solutions to nondiagonal quasilinear degenerate elliptic systems	2014	Yan Dong Pengcheng Niu
+	Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space	2013	Dongyan Li Pengcheng Niu Ran Zhuo
+	Positive solutions for singular elliptic equations with mixed Dirichlet-Neumann boundary conditions	2013	Yuanyuan Li Bernhard Ruf Qianqiao Guo Pengcheng Niu
+	Interior W 1,p Regularity and Hölder Continuity of Weak Solutions to a Class of Divergence Kolmogorov Equations with Discontinuous Coefficients	2013	Maochun Zhu Pengcheng Niu
+	Local Sobolev–Morrey estimates for nondivergence operators with drift on homogeneous groups	2013	Xiaojing Feng Pengcheng Niu
+	Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in carnot groups	2013	Pengcheng Niu Maochun Zhu
+	Hardy-Littlewood-Sobolev Type Inequality and Stein-Wiess Type Inequality on Carnot Groups	2013	Tingxi Hu Pengcheng Niu
+ PDF Chat	Interior <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>H</mml:mi><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> estimates for divergence degenerate elliptic systems in Carnot groups	2012	Maochun Zhu Marco Bramanti Pengcheng Niu
+	Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains	2012	Qianqiao Guo Junqiang Han Pengcheng Niu
+ PDF Chat	Global Sobolev-Morrey estimates for hypoelliptic operators with drift on homogeneous groups	2012	Xiaojing Feng Pengcheng Niu
+	Existence of solutions to the parabolic equation with a singular potential of the sobolev-hardy type	2012	Junqiang Han Yongda Wang Pengcheng Niu
+	Periodic solution and almost periodic solution of impulsive Lasota–Wazewska model with multiple time-varying delays	2012	Li Wang Mei Yu Pengcheng Niu
+	Regularity lifting of weak solutions for nonlinear sub-Laplace equations on homogeneous groups	2012	Xiaojing Feng Pengcheng Niu
+	Local boundedness of local weak solutions for doubly degenerate parabolic systems with singular weights	2012	Yongzhong Wang Pengcheng Niu Xuewei Cui
+	Global Orlicz regularity for sub-Laplace equations on homogeneous groups	2012	Xiaojing Feng Pengcheng Niu
+ PDF Chat	Weighted Morrey Regularity for Linear Degenerate Elliptic Dirichlet Problems on Hörmander's Vector Fields	2012	Xuewei Cui Pengcheng Niu
+	Interior HW^{1,p} estimates for divergence degenerate elliptic systems in Carnot groups	2012	Maochun Zhu Marco Bramanti Pengcheng Niu
+	HÖLDER CONTINUITY OF WEAK SOLUTIONS FOR DEGENERATE QUASILINEAR SUBELLIPTIC SYSTEMS WITH DIFFERENT WEIGHTS	2011	XUEWE CUI Pengcheng Niu Yongzhong Wang
+ PDF Chat	Green Functions for Sub-Laplacian on Half Spaces of the Heisenberg Group	2011	Na Wei Pengcheng Niu Jialin Wang
+	The existence of solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms	2011	Yuanyuan Li Qianqiao Guo Pengcheng Niu
+	Estimates in Morrey Spaces and Hölder Continuity for Weak Solutions to Degenerate Elliptic Systems	2011	Yan Dong Pengcheng Niu
+	Estimates in generalized Morrey spaces for nondivergence degenerate elliptic operators with discontinuous coefficients	2011	Na Wei Pengcheng Niu Sufang Tang Maochun Zhu
+	Existence of solutions for 2mth-order periodic boundary value problems	2011	Xiaojing Feng Pengcheng Niu Qianqiao Guo
+ PDF Chat	Quasilinear elliptic problems with combined critical Sobolev–Hardy terms	2011	Yuanyuan Li Bernhard Ruf Qianqiao Guo Pengcheng Niu
+	Harnack estimates for a quasi-linear parabolic equation with a singular weight	2011	Yongzhong Wang Pengcheng Niu Xuewei Cui
+	Estimates in Generalized Morrey Spaces for Weak Solutions to Divergence Degenerate Parabolic Systems	2011	Yan Dong Maochun Zhu Pengcheng Niu
+	L~p estimates for gradients of weak solutions to degenerate elliptic systems constituted by Baouendi-Grushin vector fields	2011	Pengcheng Niu
+	Global compactness results for quasilinear elliptic problems with combined critical Sobolev–Hardy terms	2010	Yuanyuan Li Qianqiao Guo Pengcheng Niu
+	Multiple solutions of some boundary value problems with parameters	2010	Xiaojing Feng Pengcheng Niu Qianqiao Guo
+	On unique continuation properties for sub-Laplacian on Carnot groups	2010	Pengcheng Niu Jialin Wang
+	Partial regularity for degenerate subelliptic systems associated with Hörmander’s vector fields	2010	Gao Dan Pengcheng Niu Jialin Wang
+ PDF Chat	Morrey Estimates for Parabolic Nondivergence Operators of Hörmander Type	2010	Sufang Tang Pengcheng Niu
+	Optimal partial regularity for weak solutions of nonlinear sub-elliptic systems in Carnot groups	2010	Jialin Wang Pengcheng Niu
+ PDF Chat	Hardy inequalities with remainder terms for the generalized Baouendi-Grushin vector fields	2010	Jingbo Dou Qianqiao Guo Pengcheng Niu
+ PDF Chat	Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator	2009	Pengcheng Niu Yafei Ou Junqiang Han
+	Hardy’s theorem and rotations of several complex variables	2009	Sufang Tang Pengcheng Niu
+	Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents	2009	Qianqiao Guo Pengcheng Niu Xuewei Cui
+	Some theorems on existence and uniqueness of fixed points for decreasing operators	2009	Qianqiao Guo Pengcheng Niu
+	Semilinear degenerate heat inequalities with singular potential on the Heisenberg group	2009	Zixia Yuan Pengcheng Niu
+	Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications	2009	Qianqiao Guo Pengcheng Niu Yongzhong Wang
+	Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group	2009	Wei Na Pengcheng Niu Haifeng Liu
+ PDF Chat	Lp ESTIMATES FOR WEAK SOLUTIONS TO NONLINEAR SUB-ELLIPTIC SYSTEMS RELATED TO HÖRMANDER’S VECTOR FIELDS	2009	Jialin Wang Pengcheng Niu Xuewei Cui
+	THE MEAN VALUE THEOREM AND UNCERTAINTY PRINCIPLE FOR THE SUB-LAPLACIAN ON THE QUATERNIONIC HEISENBERG GROUP	2009	Pengcheng Niu
+ PDF Chat	Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups	2008	Jialin Wang Pengcheng Niu
+	Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains	2008	Qianqiao Guo Pengcheng Niu
+ PDF Chat	HARDY INEQUALITIES IN HALF SPACES OF THE HEISENBERG GROUP	2008	JunQiang Han Pengcheng Niu Wenji Qin
+ PDF Chat	Multiplicity of solutions for singular semilinear elliptic equations with critical Hardy-Sobolev exponents	2008	Qianqiao Guo Pengcheng Niu Jingbo Dou
+	Liouville Type Theorems for Degenerate Semilinear Parabolic Inequalities on the Carnot Group	2008	Pengcheng Niu
+ PDF Chat	A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem	2007	Jingbo Dou Pengcheng Niu Zixia Yuan
+	The Fundamental Solution and Hardy Inequality for a class of decenerated p-sub-elliptic operator	2007	Pengcheng Niu
+	A Hopf Type Principle and a Strong Maximum Principle for the p-Sub-Laplacian on the Group of Heisenberg Type	2007	Pengcheng Niu
+ PDF Chat	Hardy-Sobolev type inequalities for generalized Baouendi-Grushin operators	2007	Pengcheng Niu Jingbo Dou
+	Semilinear degenerate evolution inequalities with singular potential constructed from the generalized Greiner vector fields	2006	Zixia Yuan Pengcheng Niu
+	Existence of a fixed point for a semicontinuous operator and its application	2006	Qianqiao Guo Pengcheng Niu
+	Estimates for the differences of consecutive eigenvalues of the sub-Laplacian on groups of H type	2006	Junqiang Han Pengcheng Niu
+	Characteristic sets of the Grushin operator	2006	Pengcheng Niu
+	Generalized Hardy Inequality of Grushin Type Operator	2006	Pengcheng Niu
+	Some Hardy Type Inequalities in R~n	2006	Pengcheng Niu
+	Nonexistence of Weak Solutions for p-degenerate Sub-elliptic Evolution Inequalities	2006	Pengcheng Niu
+	Nonexistences of Weak Solutions for p-sub-Laplacian Inequalities on the Heisenberg Group	2006	Pengcheng Niu
+	Nonexistence of Weak Solutions for the 𝑝-Degenerate Subelliptic Inequalities Constructed by Generalized Baouendi–Grushin Vector Fields	2005	Pengcheng Niu Jingbo Dou Huiqing Zhang
+	Hardy-Sobolev type inequalities on the H-type group	2005	Yazhou Han Pengcheng Niu
+	A GENERALIZED HARDY INEQUALITY TO THE BAOUENDI-GRUSHIN TYPE OPERATOR	2005	Haifeng Liu Pengcheng Niu
+	Hardy inequalities related to a class of degenerated elliptic operators with a double-weight	2005	Pengcheng Niu
+ PDF Chat	A Hopf Type Lemma and a CR Type Inversion for the Generalized Greiner Operator	2004	Pengcheng Niu Han Yan-wu Junqiang Han
+ PDF Chat	SOME HARDY-TYPE INEQUALITIES FOR THE GENERALIZED BAOUENDI-GRUSHIN OPERATORS	2004	Pengcheng Niu Yanxia Chen Yazhou Han
+	A Nonexistence Theorem on Groups of Heisenberg Type	2004	Pengcheng Niu
+	Dirichlet problems on some classes of second order singular elliptic equations	2004	Han Yanwu Pengcheng Niu
+	Hardy-type inequalities and Pohozaev-type identities for a class of -degenerate subelliptic operators and applications	2003	Huiqing Zhang Pengcheng Niu
+ PDF Chat	Payne–Polya–Weinberger type inequalities for eigenvalues of nonelliptic operators	2003	Pengcheng Niu Huiqing Zhang
+	PICONE IDENTITY AND HARDY INEQUALITY FOR A CLASS OF VECTOR FIELDS	2003	Pengcheng Niu L Mat
+ PDF Chat	Hardy type and Rellich type inequalities on the Heisenberg group	2001	Pengcheng Niu Huiqing Zhang Yong Wang
+	Nonexistence for Semilinear Equations and Systems in the Heisenberg Group	1999	Pengcheng Niu
+	On the eigenvalues of the operator sum of squares of vector fields	1998	Xuebo Luo Pengcheng Niu
+	Existence results for the positive solutions of semilinear equations on the Heisenberg group	1998	Ji Hui Zhang Pengcheng Niu
+	STABILITY THEOREMS FOR INTEGRODIFFERENTIAL EQUATI0NS 0F THE CONVOLUTI0N TYPE	1995	Pengcheng Niu YU Yuan-hong

Common Coauthors

Coauthor	Papers Together
Qianqiao Guo	14
Maochun Zhu	8
Junqiang Han	8
Zhouyu Li	7
Xuewei Cui	7
Pengyan Wang	6
Yan Dong	5
Xiaojing Feng	5
Jingbo Dou	5
Duan Wu	5
Jialin Wang	4
Pan Liu	4
Yongzhong Wang	4
Xiaojing Feng	4
Leyun Wu	4
Huiqing Zhang	4
Yuanyuan Li	3
Xinjing Wang	3
Wenji Zhang	3
Ran Zhuo	3
Xiaoxue Ji	3
Tingxi Hu	3
Sufang Tang	3
Dongyan Li	3
Junli Zhang	2
Guangsheng Wei	2
Bernhard Ruf	2
Jialin Wang	2
Zixia Yuan	2
Haifeng Liu	2
Marco Bramanti	2
Junli Zhang	2
Suying Liu	2
Xuewen Wu	2
Yuexia Hou	2
Kelei Zhang	2
Guangwei Du	2
Yazhou Han	2
Huiju Wang	2
Yanxia Chen	1
Na Wei	1
Junjie Yan	1
Weigao Sun	1
Da Chen	1
Yafei Ou	1
Pengyan Wang	1
Xiangjun Song	1
Lin Zheng	1
Jiaqi Zhuang	1
Jie Wei Zhu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Hypoelliptic second order differential equations	1967	Lars Hörmander	34
+ PDF Chat	Subelliptic estimates and function spaces on nilpotent Lie groups	1975	Gerald B. Folland	25
+	Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces	1996	Nicola Garofalo Duy-Minh Nhieu	19
+	Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group	1974	Gerald B. Folland E. M. Stein	16
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	14
+ PDF Chat	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	13
+ PDF Chat	Balls and metrics defined by vector fields I: Basic properties	1985	Alexander Nagel Elias M. Stein Stephen Wainger	12
+	Hardy Inequalities and Some Critical Elliptic and Parabolic Problems	1998	J.P. Garcı́a Azorero Ireneo Peral	12
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	12
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	11
+	An embedding theorem and the harnack inequality for nonlinear subelliptic equations	1993	Luca Capogna Donatella Danielli Nicola Garofalo	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	11
+	Stratified Lie Groups and Potential Theory for their Sub-Laplacians	2007	Andrea Bonfiglioli Ermanno Lanconelli Francesco Uguzzoni	10
+ PDF Chat	Schauder estimates for parabolic nondivergence operators of Hörmander type	2006	Marco Bramanti Luca Brandolini	10
+ PDF Chat	Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents	2000	Nassif Ghoussoub Chenggui Yuan	10
+	$L\sp p$ estimates for uniformly hypoelliptic operators with discontinuous coefficients on homogeneous groups	2003	Marco Bramanti Luca Brandolini	10
+	$L^p$ estimates for nonvariational hypoelliptic operators with VMO coefficients	2000	Marco Bramanti Luca Brandolini	9
+	A direct method of moving planes for the fractional Laplacian	2017	Wenxiong Chen Congming Li Yan Li	9
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	9
+	Higher interior regularity for quasilinear subelliptic systems	1997	Chao-Jiang Xu Claude Zuily	8
+ PDF Chat	Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation	1990	Nicola Garofalo Ermanno Lanconelli	8
+	Regularity for nonlinear equations involving square Hörmander operators	1994	Ugo Gianazza	8
+	𝐿^{𝑝} estimates for nonvariational hypoelliptic operators with 𝑉𝑀𝑂 coefficients	1999	Marco Bramanti Luca Brandolini	8
+ PDF Chat	Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications	1992	Guozhen Lu	8
+	Classification of solutions for an integral equation	2005	Wenxiong Chen Congming Li Biao Ou	7
+	Existence and nonexistence results for semilinear equations on the Heisenberg group	1992	Nicola Garofalo Ermanno Lanconelli	7
+	The Role Played by Space Dimension in Elliptic Critical Problems	1999	Enrico Jannelli	7
+	First order interpolation inequalities with weights	1984	Luis Caffarelli Robert V. Kohn Louis Nirenberg	7
+	Solutions for semilinear elliptic equations with critical exponents and Hardy potential	2004	Daomin Cao Pigong Han	7
+	Existence of Solutions for Singular Critical Growth Semilinear Elliptic Equations	2001	Alberto Ferrero Filippo Gazzola	7
+ PDF Chat	Solutions of fully nonlinear nonlocal systems	2017	Pengyan Wang Mei Yu	7
+	Classification of solutions of some nonlinear elliptic equations	1991	Wenxiong Chen Congming Li	6
+	Unique Continuation for a Class of Elliptic Operators Which Degenerate on a Manifold of Arbitrary Codimension	1993	Nicola Garofalo	6
+	Second Order Elliptic Equations and Elliptic Systems	1998	Chen Ya-zhe Lan-Cheng Wu	6
+ PDF Chat	Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type	2003	Luca Capogna Nicola Garofalo	6
+	LpEstimates for Some Ultraparabolic Operators with Discontinuous Coefficients	1996	Marco Bramanti M. Cristina Cerutti Maria Manfredini	6
+ PDF Chat	A concave—convex elliptic problem involving the fractional Laplacian	2013	Cristina Brändle Eduardo Colorado A. de Pablo Urko Sánchez	6
+	A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with VMO coefficients	2003	Gary M. Lieberman	6
+	Sobolev-Morrey spaces related to an ultraparabolic equation	1998	Sergio Polidoro Maria Alessandra Ragusa	6
+ PDF Chat	The sharp Poincaré inequality for free vector fields: an endpoint result	1994	Guozhen Lu	6
+ PDF Chat	Morrey Estimates for Parabolic Nondivergence Operators of Hörmander Type	2010	Sufang Tang Pengcheng Niu	6
+	Regularity of quasi-linear equations in the Heisenberg group	1997	Luca Capogna	6
+	Elliptic problems with critical exponents and Hardy potentials	2003	David Ruiz M. Willem	6
+	A global compactness result for elliptic boundary value problems involving limiting nonlinearities	1984	Michaël Struwe	6
+	Interior W2,p estimates for non divergence elliptic equations with discontinuous coefficients	1991	Filippo Chiarenza Michael Frasca Placido Longo	6
+	A global compactness result for singular elliptic problems involving critical Sobolev exponent	2002	Daomin Cao Shuangjie Peng	5
+	Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities	2004	Didier Smets	5
+ PDF Chat	𝑊^{2,𝑝}-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO coefficients	1993	Filippo Chiarenza Michele Frasca Placido Longo	5
+ PDF Chat	Regularity theory for fully nonlinear integro‐differential equations	2009	Luis Caffarelli Luís Silvestre	5
+ PDF Chat	A fundamental solution for a subelliptic operator	1973	Gerald B. Folland	5