Convergence properties of modular eigenfunctions for the \(p(\cdot)\)-Laplacian

DOI10.1016/j.na.2014.03.008zbMath1291.35152OpenAlexW1976586168MaRDI QIDQ2447089

Osvaldo Méndez, Jan Lang

Publication date: 24 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.na.2014.03.008

zbMATH Keywords

eigenvalue problemmodular \(p(\cdot)\)-Laplacianstability of eigenfunctions

Mathematics Subject Classification ID

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

Related Items (4)

Stability of the norm-eigenfunctions of the \(p(\cdot)\)-Laplacian ⋮ On the eigenvalue problem for a class of Kirchhoff-type equations ⋮ \(\Gamma\)-convergence of the energy functionals for the variable exponent \(p(\cdot)\)-Laplacian and stability of the minimizers with respect to integrability ⋮ Extension of a result by Lindquist to Lebesgue spaces with variable exponents

Cites Work

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• Approximation numbers = singular values
• Modular Eigenvalues of the Dirichlet p(·)-Laplacian and Their Stability
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Direct methods in the calculus of variations

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