Positivity of the infimum eigenvalue for equations of \(p(x)\)-Laplace type in \(\mathbb R^N\)

DOI10.1186/1687-2770-2013-214zbMath1294.35046OpenAlexW2081591371WikidataQ59295555 ScholiaQ59295555MaRDI QIDQ2252497

In Hyoun Kim, Yun-Ho Kim

Publication date: 17 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-214

zbMATH Keywords

weak solutioneigenvalues\(p(x)\)-Laplacianvariable exponent Lebesgue-Sobolev spaces

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Existence and multiplicity of solutions for Schrödinger-Kirchhoff type problems involving the fractional \(p(\cdot) \)-Laplacian in \(\mathbb{R}^N\) ⋮ Positivity of the infimum eigenvalue for the \(p(x)\)-triharmonic operator with variable exponents ⋮ Existence and multiplicity of solutions for equations involving nonhomogeneous operators of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\)

Cites Work

• On the eigenvalues of weighted \(p(x)\)-Laplacian on \(\mathbb R^N\)
• Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type
• Global bifurcation for a class of degenerate elliptic equations with variable exponents
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Eigenvalue problems for the \(p\)-Laplacian
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Existence of positive solutions for a class of the p-Laplace equations
• Nonlinear Eigenvalue Problem for p‐Laplacian in IR^N
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mathematical modeling of electrorheological materials
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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