EXISTENCE OF POSITIVE SOLUTION FOR A QUASI-LINEAR PROBLEM WITH CRITICAL GROWTH IN N+
From MaRDI portal
Publication:3633322
DOI10.1017/S0017089509005047zbMath1178.35170MaRDI QIDQ3633322
Angelo R. F. de Holanda, José A. Fernandes, Claudianor Oliveira Alves
Publication date: 18 June 2009
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Asymptotic expansions of solutions to PDEs (35C20) Quasilinear elliptic equations (35J62)
Related Items (2)
Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\) ⋮ Existence of positive solution for a critical system in \((\mathbb{R}^N_+)\)
Cites Work
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
- Multiplicity results for an inhomogeneous Neumann problem with critical exponent
- Nehari manifold and existence of positive solutions to a class of quasilinear problems
- Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
- Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
- Quasilinear elliptic equations involving critical Sobolev exponents
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Nonminimizing Positive Solutions for Equations with Critical Exponents in the Half-Space
- Positive solutions for the p-Laplacian: application of the fibrering method
- Extrema problems with critical sobolev exponents on unbounded domains
- Quasilinear elliptic problems with critical exponents
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: EXISTENCE OF POSITIVE SOLUTION FOR A QUASI-LINEAR PROBLEM WITH CRITICAL GROWTH IN N+