Compactness and quasilinear problems with critical exponents.

zbMath1212.35113MaRDI QIDQ976643

Jean Michel Rakotoson, Abdallah El Hamidi

Publication date: 15 June 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Brézis-Lieb lemmaPalais-Smale properties

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (15)

Unnamed Item ⋮ Existence of entire positive solutions for a critical system of nonlinear elliptic equations ⋮ On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method ⋮ On a \(p\)-Kirchhoff problem involving a critical nonlinearity ⋮ Positive solution for a class of degenerate quasilinear elliptic equations in \(\mathbb R^N\) ⋮ Extremal functions for the anisotropic Sobolev inequalities ⋮ Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents ⋮ Extremal functions for an embedding from some anisotropic space, involving the ``one Laplacian ⋮ Anisotropic \(p,q\)-Laplacian equations when \(p\) goes to 1 ⋮ On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function ⋮ Eigenvalue problems with fully discontinuous operators and critical exponents ⋮ Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials ⋮ A Berestycki-Lions type result and applications ⋮ On positive solution for a class of degenerate quasilinear elliptic positone/semipositone systems ⋮ Existence result for quasilinear elliptic problem on unbounded domains

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