Existence of positive solutions for a semilinear elliptic problem with critical Sobolev and Hardy terms

Norimichi Hirano, Naoki Shioji

Type: Article

Publication Date: 2006-02-17

Citations: 9

DOI: https://doi.org/10.1090/s0002-9939-06-08405-x

View Publication

Locations

Proceedings of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Existence of positive solutions of elliptic equations with Hardy term	2024	Yan Huimin Junhui Xie
+	The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms	2019	M. Khiddi
+	The existence of solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms	2011	Yuanyuan Li Qianqiao Guo Pengcheng Niu
+	Solutions for semilinear elliptic problems with critical Sobolev–Hardy exponents and Hardy potential	2005	Dongsheng Kang Shuangjie Peng
+	EXISTENCE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS AND HARDY TERMS	2005	Pigong Han
+	Solutions for semilinear elliptic problems with critical Sobolev–Hardy exponents in	2006	Dongsheng Kang
+ PDF Chat	Monotonicity of the forcing term and existence of positive solutions for a class of semilinear elliptic problems	1991	Sudhasree Gadam
+	Semilinear elliptic boundary value problems with critical Sobolev exponent	2002	Catherine Bandle
+	Existence of positive solutions for a class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi><mml:mtext>&</mml:mtext><mml:mi>q</mml:mi></mml:math> elliptic problems with critical growth on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math>	2011	Giovany M. Figueiredo
+ PDF Chat	Uniqueness of the critical point of the solutions to some semilinear elliptic boundary value problems in 𝑅²	1990	Shigeru Sakaguchi
+	Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential	2006	Pigong Han
+	Existence of solutions for elliptic equations with critical Sobolev–Hardy exponents	2004	Dongsheng Kang Shuangjie Peng
+	A positive solution of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si3.svg"><mml:mi>p</mml:mi></mml:math>-Laplace problems related to a critical Sobolev term	2023	Yuanyuan Li
+	Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy–Sobolev critical exponents	2007	Ling Ding Chun‐Lei Tang
+ PDF Chat	Two Disjoint and Infinite Sets of Solutions for An Elliptic Equation with Critical Hardy-Sobolev-Maz’ya Term and Concave-Convex Nonlinearities	2023	Rachid Echarghaoui Zakaria Zaimi
+	Positive solutions for some semilinear elliptic equations with critical sobolev exponents	1987	José F. Escobar
+	Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents	2004	Dongsheng Kang Shuangjie Peng
+	Existence results for elliptic equation involving polyharmonic operator and a critical growth	2024	Asma Benhamida Rejeb Hadiji Habib Yazidi
+	The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms (Harmonic Analysis and Nonlinear Partial Differential Equations)	2011	Chang-Shou Lin Chun-Hsiung Hsia Hidemitsu Wadade
+ PDF Chat	Semilinear elliptic equations with Hardy potential and subcritical source term	2017	Phuoc‐Tai Nguyen

Works That Cite This (9)

Action	Title	Year	Authors
+	Caffarelli–Kohn–Nirenberg type equations of fourth order with the critical exponent and Rellich potential	2015	Mousomi Bhakta
+	Nonlocal problems with critical Hardy nonlinearity	2018	Wenjing Chen Sunra Mosconi Marco Squassina
+	On the multiplicity of non radial solutions for singular elliptic equations	2016	Noria Bekkouche Naima Daoudi-Merzagui Meryem Hellal
+	Coron problem for nonlocal equations invloving Choquard nonlinearity	2018	Divya Goel K. Sreenadh
+ PDF Chat	On existence of positive solutions for a class of Caffarelli–Kohn–Nirenberg type equations	2010	J. Chabrowski David G. Costa
+	Existence of sign-changing solutions for a nonlinear elliptic problem on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math>with a Hardy term	2007	Norimichi Hirano Naoki Shioji
+	Nonlocal problems with critical Hardy nonlinearity	2017	Wenjing Chen Sunra Mosconi Marco Squassina
+	Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential	2014	Mousomi Bhakta
+ PDF Chat	Existence of multiple positive solutions for a nonlinear elliptic problem with the critical exponent and a Hardy term	2008	Norimichi Hirano Naoki Shioji

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	On positive entire solutions to a class of equations with a singular coefficient and critical exponent	1996	Susanna Terracini
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe
+ PDF Chat	Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents	2000	Nassif Ghoussoub Chenggui Yuan
+	On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain	1988	Abbas Bahri Jean‐Michel Coron
+	Elliptic problems with critical exponents and Hardy potentials	2003	David Ruiz M. Willem
+	SINGULAR ELLIPTIC PROBLEMS WITH CRITICAL GROWTH	2002	Paolo Caldiroli Andrea Malchiodi
+	Multiple existence of solutions for semilinear elliptic problems on a domain with a rich topology	1997	Norimichi Hirano
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg
+	Remarks on some quasilinear elliptic equations	1975	Jerry L. Kazdan F. W. Warner
+	Hardy Inequalities and Some Critical Elliptic and Parabolic Problems	1998	J.P. Garcı́a Azorero Ireneo Peral