An eigenvalue problem with variable exponents

DOI10.1016/j.na.2013.02.011zbMath1278.35169arXiv1210.1397OpenAlexW1977908288MaRDI QIDQ388483

Giovanni Franzina, Peter Lindqvist

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1397

zbMATH Keywords

non-standard growth conditionsnonlinear eigenvaluesvariable exponents

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (17)

Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters ⋮ Stability of the norm-eigenfunctions of the \(p(\cdot)\)-Laplacian ⋮ The stability of parabolic problems with nonstandard \(p(x,t)\)-growth ⋮ Eigenvalues for double phase variational integrals ⋮ The asymptotic behaviour of the \(p(x)\)-Laplacian Steklov eigenvalue problem ⋮ Computing the first eigenpair for problems with variable exponents ⋮ Asymptotic behavior of the eigenvalues of the \(p(x)\)-Laplacian ⋮ The inverse power method for the \(p(x)\)-Laplacian problem ⋮ The Robin eigenvalue problem for the \(p(x)\)-Laplacian as \(p\to \infty \) ⋮ The principal frequency of \(\Delta_\infty\) as a limit of Rayleigh quotients involving Luxemburg norms ⋮ Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Stability of eigenvalues for variable exponent problems ⋮ Approximation of the first eigenpair of the \(p(x)\)-Laplacian using WEB-spline based mesh-free method ⋮ The stability of eigenvalues for the \(p(x)\)-Laplacian equations involving Robin boundary conditions ⋮ Principal frequency of Δ_∞ as limit of Rayleigh quotients in Orlicz spaces ⋮ Minimization of quotients with variable exponents ⋮ Ground states for scalar field equations with anisotropic nonlocal nonlinearities

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