Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent
type: Item
instance of: scholarly article
title: Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent
zbMATH Open document ID: 1276.35085
author: Yūki Naito
author: Tokushi Sato
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2012-03-08T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6012912
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: non-homogeneous
zbMATH Keywords: critical Sobolev exponent
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: s10231-010-0173-y
OpenAlex ID: W2024287354
cites work: Dual variational methods in critical point theory and applications
cites work: Some results on \(p\)-Laplace equations with a critical growth term.
cites work: Quasilinear elliptic equations at critical growth
cites work: Nodal solutions of a p-Laplacian equation
cites work: Q4146134
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents
cites work: On multiple solutions for the nonhomogeneous \(p\)-Laplacian with a critical Sobolev exponent
cites work: Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
cites work: Non-existence of nodal and one-signed solutions for nonlinear variational equations
cites work: Non-existence of nodal and one-signed solutions for nonlinear variational equations with special symmetries
cites work: Q3778373
cites work: Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
cites work: Some problems in the theory of quasilinear equations
cites work: Symmetry and related properties via the maximum principle
cites work: Elliptic partial differential equations of second order
cites work: Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
cites work: The role played by space dimension in elliptic critical problems
cites work: Quasilinear Dirichlet problems driven by positive sources
cites work: Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
cites work: Self-similar solutions for a semilinear heat equation with critical Sobolev exponent
cites work: Positive solutions for semilinear elliptic equations with singular forcing terms
cites work: Q3027501
cites work: Critical exponents and critical dimensions of polyharmonic operators
cites work: On the Brézis-Nirenberg problem
cites work: Two solutions for inhomogeneous nonlinear elliptic equations at critical growth
cites work: Q4714152
cites work: On nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Minimax theorems
cites work: Solutions for a quasilinear elliptic equation with critical Sobolev exponent and perturbations on \({\mathbb{R}}^N\)
DOI: 10.1007/S10231-010-0173-Y
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description: scientific article; zbMATH DE number 6012912