On a non-smooth eigenvalue problem in Orlicz–Sobolev spaces

DOI10.1080/00036810802428987zbMath1186.35124OpenAlexW2145481646WikidataQ58131628 ScholiaQ58131628MaRDI QIDQ5190144

Motreanu, Dumitru, Vy Khoi Le, Viorica V. Motreanu

Publication date: 12 March 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802428987

zbMATH Keywords

Orlicz-Sobolev spacesLjusternik-Schnirelman theoryfinite-dimensional approximationKrasnoselskii genusnon-smooth eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Theoretical approximation in context of PDEs (35A35) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (9)

Generalized Choquard equations driven by nonhomogeneous operators ⋮ On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle ⋮ Looking for the best constant in a Sobolev inequality: a numerical approach ⋮ Existence of multi-peak solutions for a class of quasilinear problems in Orlicz-Sobolev spaces ⋮ \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology ⋮ Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems ⋮ Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition ⋮ Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weightedp-Laplacian ⋮ Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space

Cites Work

• Eigenvalue problems for the \(p\)-Laplacian
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
• Minimax Principle for Eigenvalue Variational Inequalities in the Nonsmooth Case
• A Note on a Paper of Fučik and Nečas
• LJUSTERNIK‐SCHNIRELMANN Theorem and Nonlinear Eigenvalue Problems

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