On the eigenvalues of weighted \(p(x)\)-Laplacian on \(\mathbb R^N\)

DOI10.1016/j.na.2010.08.037zbMath1202.35141OpenAlexW1987881486MaRDI QIDQ603034

Nawel Benouhiba

Publication date: 5 November 2010

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.2010.08.037

zbMATH Keywords

eigenvalueelectrorheological fluids\(p(x)\)-Laplacian operatorvariable exponent Lebesgue-Sobolev space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Magnetohydrodynamics and electrohydrodynamics (76W05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Weak solutions to PDEs (35D30)

Related Items (9)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ On eigenvalue problems for the \(p(x)\)-Laplacian ⋮ Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type ⋮ Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents ⋮ Positivity of the infimum eigenvalue for equations of \(p(x)\)-Laplace type in \(\mathbb R^N\) ⋮ EXISTENCE OF A POSITIVE INFIMUM EIGENVALUE FOR THE p(x)-LAPLACIAN NEUMANN PROBLEMS WITH WEIGHTED FUNCTIONS ⋮ Unnamed Item ⋮ Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents ⋮ Quasilinear elliptic problem without Ambrosetti–Rabinowitz condition involving a potential in Musielak–Sobolev spaces setting

Cites Work

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• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Sobolev embeddings for unbounded domain with variable exponent having values across N
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Mathematical modeling of electrorheological materials
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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