Marcos Montenegro

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All published works

Action	Title	Year	Authors
+ PDF Chat	Sharp estimates for fundamental frequencies of elliptic operators generated by asymmetric seminorms in low dimensions	2025	Julián Haddad Raul Fernandes Horta Marcos Montenegro
+	Harnack type estimates to non-linear elliptic systems in the plane	2025	Edir Júnior Ferreira Leite Marcos Montenegro
+ PDF Chat	On the characterization of the Dirichlet and Fu\v{c}\'ik spectra for the one-dimensional asymmetric p-Laplace operator	2025	Raul Fernandes Horta Marcos Montenegro
+	Asymmetric affine Poincaré–Sobolev–Wirtinger inequalities on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.svg" display="inline" id="d1e23"><mml:mrow><mml:mi>B</mml:mi><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>Ω</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> and characterization of extremizers in one-dimension	2024	Raul Fernandes Horta Marcos Montenegro
+	Maximum principles, ABP estimates and HKS inequalities related to GLE systems	2024	Edir Júnior Ferreira Leite Marcos Montenegro
+ PDF Chat	Sharp isoanisotropic estimates for fundamental frequencies of membranes and connections with shapes	2024	Raul Fernandes Horta Marcos Montenegro
+	Nontrivial solutions to affine <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si7.svg" display="inline" id="d1e22"><mml:mi>p</mml:mi></mml:math>-Laplace equations via a perturbation strategy	2024	Edir Júnior Ferreira Leite Marcos Montenegro
+ PDF Chat	Optimal anisotropies for p-Laplace type operators in the plane	2024	Raul Fernandes Horta Marcos Montenegro
+	Towards existence theorems to affine p-Laplace equations via variational approach	2024	Edir Júnior Ferreira Leite Marcos Montenegro
+	Least energy solutions for affine <i>p</i>-Laplace equations involving subcritical and critical nonlinearities	2024	Edir Júnior Ferreira Leite Marcos Montenegro
+	The Effect of Diffusions and Sources on Semilinear Elliptic Problems	2023	Emerson Abreu Everaldo S. Medeiros Marcos Montenegro
+	Principal eigenvalues and eigenfunctions to Lane-Emden systems on general bounded domains	2023	Edir Junior Ferreira Leite Marcos Montenegro
+	Minimization to the Zhang's energy on BV(Ω) and sharp affine Poincaré-Sobolev inequalities	2022	Edir Junior Ferreira Leite Marcos Montenegro
+	Extremal solutions of strongly coupled nonlinear elliptic systems and L∞-boundedness	2022	Felipe Costa Gil Fidelix de Souza Marcos Montenegro
+	Least energy solutions for affine $p$-Laplace equations involving subcritical and critical nonlinearities	2022	Edir Ferreira Leite Marcos Montenegro
+	Minimization to the Zhang's energy on $BV(\Omega)$ and sharp affine Poincar\'e-Sobolev inequalities	2021	Edir Junior Ferreira Leite Marcos Montenegro
+ PDF Chat	Minimization to the Zhang's energy on $BV(\Omega)$ and sharp affine Poincar\'e-Sobolev inequalities	2021	Edir Ferreira Leite Marcos Montenegro
+ PDF Chat	From affine Poincaré inequalities to affine spectral inequalities	2021	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Minimization to the Zhang's energy on $BV(Ω)$ and sharp affine Poincaré-Sobolev inequalities	2021	Edir Ferreira Leite Marcos Montenegro
+	Principal curves to nonlocal Lane–Emden systems and related maximum principles	2020	Edir Junior Ferreira Leite Marcos Montenegro
+	From affine Poincar\'e inequalities to affine spectral inequalities	2020	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Extremal solutions for a broad spectrum of nonlinear elliptic systems	2020	Felipe Costa Gil Fidelix de Souza Marcos Montenegro
+	From affine Poincaré inequalities to affine spectral inequalities	2020	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Extremal solutions for a broad spectrum of nonlinear elliptic systems	2020	Felipe Denardin Costa Gil Fidelix de Souza Marcos Montenegro
+	Optimal Normed Sobolev Type Inequalities on Manifolds I: The Nash Prototype	2019	Jurandir Ceccon Carlos Durán Marcos Montenegro
+	Asymmetric Blaschke-Santaló functional inequalities	2019	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Maximum and comparison principles to Lane‐Emden systems	2019	Edir Junior Ferreira Leite Marcos Montenegro
+ PDF Chat	On positive viscosity solutions of fractional Lane-Emden systems	2019	Edir Junior Ferreira Leite Marcos Montenegro
+	Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities	2018	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Asymmetric Blaschke-Santal\'o functional inequalities	2018	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Asymmetric Blaschke-Santaló functional inequalities	2018	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+ PDF Chat	A priori bounds and positive solutions for non-variational fractional elliptic systems	2017	Edir Junior Ferreira Leite Marcos Montenegro
+	Sharp affine weighted $L^p$ Sobolev type inequalities	2017	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	The C dependence problem of eigenvalues of the Laplace operator on domains in the plane	2017	Julián Haddad Marcos Montenegro
+ PDF Chat	The sharp affine $$L^2$$ L 2 Sobolev trace inequality and variants	2017	Pablo L. De Nápoli Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Sharp affine weighted $L^p$ Sobolev type inequalities	2017	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+ PDF Chat	The Brezis–Nirenberg problem for fractional elliptic operators	2016	Ko‐Shin Chen Marcos Montenegro Xiaodong Yan
+ PDF Chat	A note on borderline Brezis–Nirenberg type problems	2016	Julián Haddad Marcos Montenegro
+ PDF Chat	The effect of diffusion on critical quasilinear elliptic problems	2016	Renato José de Moura Marcos Montenegro
+	Sharp affine Sobolev type inequalities via the L Busemann–Petty centroid inequality	2016	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	The Brezis-Nirenberg problem for fractional elliptic operators	2016	Ko‐Shin Chen Marcos Montenegro Xiaodong Yan
+	On the Brezis-Nirenberg problem for elliptic operators in divergent form	2015	Julián Haddad Marcos Montenegro
+	A note on borderline Brezis-Nirenberg type problems	2015	Julián Haddad Marcos Montenegro
+	On positive viscosity solutions of fractional Lane-Emden systems	2015	Edir Junior Ferreira Leite Marcos Montenegro
+	Sharp <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-entropy inequalities on manifolds	2015	Jurandir Ceccon Marcos Montenegro
+	Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality	2015	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	Sharp Affine Sobolev Type Inequalities	2015	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	The smoothness problem of eigenvalues of the Laplace operator on the plane	2015	Julián Haddad Marcos Montenegro
+	The C^r dependence problem of eigenvalues of the Laplace operator on domains in the plane	2015	Julián Haddad Marcos Montenegro
+	On differentiability of eigenvalues of second order elliptic operators on non-smooth domains	2015	Julián Haddad Marcos Montenegro
+	Uniform bounds of minimizers of non-smooth constrained functionals on maps spaces	2015	Jurandir Ceccon Marcos Montenegro
+	The sharp affine $L^2$ Sobolev trace inequality and variants	2015	Pablo L. De Nápoli Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	A note on borderline Brezis-Nirenberg type problems	2015	Julián Haddad Marcos Montenegro
+	Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality	2015	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro
+	The C^r dependence problem of eigenvalues of the Laplace operator on domains in the plane	2015	Julián Haddad Marcos Montenegro
+	On positive viscosity solutions of fractional Lane-Emden systems	2015	Edir Junior Ferreira Leite Marcos Montenegro
+	A priori bounds and positive solutions for non-variational fractional elliptic systems	2014	Edir Junior Ferreira Leite Marcos Montenegro
+	On the influence of second order uniformly elliptic operators in nonlinear problems	2014	Marcos Montenegro Renato José de Moura
+ PDF Chat	Extremals for sharp GNS inequalities on compact manifolds	2014	Emerson Abreu Jurandir Ceccon Marcos Montenegro
+	A priori bounds and positive solutions for non-variational fractional elliptic systems	2014	Edir Ferreira Leite Marcos Montenegro
+	Factorization into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>k</mml:mi></mml:math>-bubbles for Palais–Smale maps to potential type energy functionals	2013	Marcos Montenegro Gil Fidelix de Souza
+	Optimal Riemannian<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-Gagliardo–Nirenberg inequalities revisited	2013	Jurandir Ceccon Marcos Montenegro
+	Sharp L^p-entropy inequalities on manifolds	2013	Jurandir Ceccon Marcos Montenegro
+	The k-Yamabe problem on CR manifolds ∗†	2012	Ezequiel Barbosa Brazil Luiz Gustavo Carneiro Marcos Montenegro
+	The k-Yamabe problem on CR manifolds	2012	Ezequiel Barbosa Luiz Gustavo Carneiro Marcos Montenegro
+	Extremal maps in best constants vector theory. Part I: Duality and compactness	2011	Ezequiel Barbosa Marcos Montenegro
+	Nontrivial solutions for critical potential elliptic systems	2011	Ezequiel Barbosa Marcos Montenegro
+	Multiplicity for the prescribed scalar curvature problem	2011	Ezequiel Barbosa Marcos Montenegro
+	Extremal maps in best constants vector theory - Part I: Duality and Compactness	2010	Ezequiel Barbosa Marcos Montenegro
+	On the compactness problem of extremal functions to sharp Riemannian <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>-Sobolev inequalities	2010	Ezequiel Barbosa Marcos Montenegro
+	Extremal maps in best constants vector theory - Part I: Duality and Compactness	2010	Ezequiel Barbosa Marcos Montenegro
+	On nontrivial solutions of critical polyharmonic elliptic systems	2009	Marcos Montenegro
+ PDF Chat	Compactness results for divergence type nonlinear elliptic equations	2009	Jurandir Ceccon Marcos Montenegro
+	On the geometric dependence of Riemannian Sobolev best constants	2009	Ezequiel Barbosa Marcos Montenegro
+	The second Sobolev best constant along the Ricci flow	2008	Ezequiel Barbosa Marcos Montenegro
+	A note on scalar curvature type problems in dimension 4	2008	Ezequiel Barbosa Marcos Montenegro
+ PDF Chat	On the continuity of the second Sobolev best constant	2007	Ezequiel Barbosa Marcos Montenegro
+	Continuous dependence of Sobolev best constants on the geometry	2007	Ezequiel Barbosa Marcos Montenegro
+	A note on extremal functions for sharp Sobolev inequalities	2007	Ezequiel Barbosa Marcos Montenegro
+ PDF Chat	Optimal L p -Riemannian Gagliardo–Nirenberg inequalities	2007	Jurandir Ceccon Marcos Montenegro
+	A note on extremal functions for sharp Sobolev inequalities	2007	Marcos Montenegro Ezequiel Barbosa
+	Optimal L^p-Riemannian Gagliardo-Nirenberg inequalities	2007	Jurandir Ceccon Marcos Montenegro
+	On the geometric dependence of Riemannian Sobolev best constants	2007	Ezequiel Barbosa Marcos Montenegro
+	Homogeneous sharp Sobolev inequalities on product manifolds	2006	Jurandir Ceccon Marcos Montenegro
+ PDF Chat	General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities	2005	Jurandir Ceccon Marcos Montenegro
+	Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications	2003	Rodney Josué Biezuner Marcos Montenegro
+	Existence of solutions for some semilinear elliptic systems with singular coefficients	2001	Marcos Montenegro
+	Existence and Nonexistence of Solutions for Quasilinear Elliptic Equations	2000	Marcelo Montenegro Marcos Montenegro
+	The construction of principal spectral curves for Lane-Emden systems and applications	2000	Marcos Montenegro
+	Criticalidade, superlinearidade e sublinearidade para sistemas elipticos semilineares	1997	Marcos Montenegro Djairo G. de Figueiredo

Common Coauthors

Coauthor	Papers Together
Julián Haddad	25
Ezequiel Barbosa	16
Carlos Hugo Jiménez	15
Jurandir Ceccon	11
Edir Junior Ferreira Leite	10
Edir Júnior Ferreira Leite	5
Edir Ferreira Leite	4
Raul Fernandes Horta	4
Gil Fidelix de Souza	4
Ko‐Shin Chen	2
Felipe Costa	2
Renato José de Moura	2
Emerson Abreu	2
Xiaodong Yan	2
Pablo L. De Nápoli	2
Marcelo Montenegro	1
Luiz Gustavo Carneiro	1
Brazil Luiz Gustavo Carneiro	1
Felipe Denardin Costa	1
Everaldo S. Medeiros	1
Carlos E. Durán	1
Raul Fernandes Horta	1
Djairo G. de Figueiredo	1
Rodney Josué Biezuner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti	18
+ PDF Chat	Problèmes isopérimétriques et espaces de Sobolev	1976	Thierry Aubin	17
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	15
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	13
+ PDF Chat	The affine Sobolev inequality	1999	Gaoyong Zhang	12
+ PDF Chat	On the best Sobolev inequality	1999	Thierry Aubin Yan Yan Li	12
+	The best constants problem in Sobolev inequalities	1999	Olivier Druet	12
+	The $AB$ program in Geometric Analysis. Sharp Sobolev inequalities and related problems	2002	Olivier Druet Emmanuel Hebey	12
+	Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities	2000	Emmanuel Hebey	11
+	A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities	2003	D. Cordero-Erausquin Bruno Nazaret Cédric Villani	11
+ PDF Chat	Asymmetric affine <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> Sobolev inequalities	2009	Christoph Haberl Franz E. Schuster	11
+ PDF Chat	Meilleures constantes dans le théorème d’inclusion de Sobolev	1996	Emmanuel Hebey Michel Vaugon	11
+	Quasilinear elliptic equations involving critical Sobolev exponents	1989	Mohammed Guedda Лаурент Верон	11
+ PDF Chat	Lp Affine Isoperimetric Inequalities	2000	Erwin Lutwak Deane Yang Gaoyong Zhang	11
+ PDF Chat	Sharp Affine LP Sobolev Inequalities	2002	Erwin Lutwak Deane Yang Gaoyong Zhang	11
+	Semilinear elliptic equations involving critical Sobolev exponents	1988	Henrik Egnell	10
+	Optimal Sobolev norms and the Lp Minkowski problem	2006	Erwin Lutwak Da Yang G. Zhang	10
+	The affine Sobolev–Zhang inequality on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>B</mml:mi><mml:mi>V</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math>	2012	Tuo Wang	10
+	Extremal functions for optimal Sobolev inequalities on compact manifolds	2001	Zindine Djadli Olivier Druet	10
+	Sharp affine Sobolev type inequalities via the L Busemann–Petty centroid inequality	2016	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro	10
+	Sharp convex Lorentz–Sobolev inequalities	2010	Monika Ludwig Jie Xiao Gaoyong Zhang	10
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	9
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	9
+	Affine Moser–Trudinger and Morrey–Sobolev inequalities	2009	Andrea Cianchi Erwin Lutwak Deane Yang Gaoyong Zhang	9
+ PDF Chat	Positive solutions of nonlinear problems involving the square root of the Laplacian	2010	Xavier Cabré Jinggang Tan	8
+ PDF Chat	The optimal Euclidean Lp-Sobolev logarithmic inequality	2003	Manuel del Pino Jean Dolbeault	8
+	Linking solutions for p-Laplace equations with nonlinearity at critical growth	2009	Marco Degiovanni Sergio Lancelotti	8
+	The Lp-Busemann–Petty Centroid Inequality	2002	Stefano Campi Paolo Gronchi	8
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	8
+	New approach to the affine Pólya–Szegö principle and the stability version of the affine Sobolev inequality	2016	Van Hoang Nguyen	8
+	Optimal Sobolev Inequalities of Arbitrary Order on Compact Riemannian Manifolds	1998	Olivier Druet	8
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	8
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	7
+ PDF Chat	An existence result for nonlinear elliptic problems involving critical Sobolev exponent	1985	A. Capozzi Donato Fortunato G. Palmieri	7
+ PDF Chat	Some results on $p$-Laplace equations with a critical growth term	1998	Gianni Arioli Filippo Gazzola	7
+	Sharp affine weighted 𝐿^{𝑝} Sobolev type inequalities	2018	Julián Haddad Carlos Hugo Jiménez Marcos Montenegro	7
+	The general optimal Lp-Euclidean logarithmic Sobolev inequality by Hamilton–Jacobi equations	2003	Ivan Gentil	7
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	7
+ PDF Chat	Local behavior of solutions of quasi-linear equations	1964	James Serrin	7
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	7
+ PDF Chat	Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations	2011	Antonio Capella Juan Dávila Louis Dupaigne Yannick Sire	7
+	Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions	2002	Manuel del Pino Jean Dolbeault	7
+ PDF Chat	Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations	1997	Filippo Gazzola Bernhard Ruf	7
+ PDF Chat	The sharp affine $$L^2$$ L 2 Sobolev trace inequality and variants	2017	Pablo L. De Nápoli Julián Haddad Carlos Hugo Jiménez Marcos Montenegro	7
+	A rellich type identity and applications	1993	Enzo Mitidieri	6
+	Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents	1988	Henrik Egnell	6
+ PDF Chat	Sharp Sobolev inequalities with lower order remainder terms	2000	Olivier Druet Emmanuel Hebey Michel Vaugon	6
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	6
+ PDF Chat	THE BEST-CONSTANT PROBLEM FOR A FAMILY OF GAGLIARDO–NIRENBERG INEQUALITIES ON A COMPACT RIEMANNIAN MANIFOLD	2003	Christophe Brouttelande	6
+	EQUATIONS DIFFERENTIELLES NON LINEAIRES ET PROBLEME DE YAMABE CONCERNANT LA COURBURE SCALAIRE.	1976	Thierry Aubin	6