Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)
From MaRDI portal
Publication:526054
DOI10.12775/TMNA.2015.020zbMath1371.35131arXiv1304.7142OpenAlexW2963209956MaRDI QIDQ526054
Marcelo C. Ferreira, Claudianor Oliveira Alves
Publication date: 8 May 2017
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.7142
Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (27)
Global existence and blow-up for the pseudo-parabolic \(p(x)\)-Laplacian equation with logarithmic nonlinearity ⋮ Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent ⋮ Multiplicity results for variable-order fractional Laplacian equations with variable growth ⋮ A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent ⋮ Local existence conditions for an equations involving the \(p(x)\)-Laplacian with critical exponent in \(\mathbb R^N\) ⋮ Multiplicity of solutions for fractional \(q(\cdot)\)-Laplacian equations ⋮ On degenerate \(p(x)\)-Laplace equations involving critical growth with two parameters ⋮ Existence of solutions for a critical Choquard-Kirchhoff problem with variable exponents ⋮ The Neumann problem for a class of generalized Kirchhoff-type potential systems ⋮ Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type ⋮ Solutions of the mean curvature equation with the Nehari manifold ⋮ On the diffusion \(p(x)\)-Laplacian with logarithmic nonlinearity ⋮ Existence and regularity of solutions for a class of singular (p(x), q(x))-Laplacian systems ⋮ Existence of solution for a class of heat equation involving the \(p(x)\) Laplacian with triple regime ⋮ Homoclinic solutions for Hamiltonian systems with variable-order fractional derivatives ⋮ The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian ⋮ Variational approach for the variable-order fractional magnetic Schrödinger equation with variable growth and steep potential in \(\mathbb{R}^N\) ⋮ Unnamed Item ⋮ A compact embedding result for anisotropic Sobolev spaces associated to a strip-like domain and some applications ⋮ Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth ⋮ Multiple solutions for a class of quasilinear problems involving variable exponents ⋮ Existence and uniqueness of weak solutions to variable-order fractional Laplacian equations with variable exponents ⋮ Superlinear elliptic equations with variable exponent via perturbation method ⋮ On a nonlocal problem involving a nonstandard nonhomogeneous differential operator ⋮ On the fractional \(p\)-Laplacian problems ⋮ Eigenvalue problems for fractional \(p(x,y)\)-Laplacian equations with indefinite weight ⋮ Schrödinger p⋅–Laplace equations in RN involving indefinite weights and critical growth
This page was built for publication: Existence of solutions for a class of \(p(x)\)-Laplacian equations involving a concave-convex nonlinearity with critical growth in \({\mathbb R}^N\)