Qualitative properties of eigenvectors related to multivalued operators and some existence results

DOI10.1007/s10957-012-0064-zzbMath1273.47097OpenAlexW2092353787MaRDI QIDQ1935285

Houssam Chrayteh

Publication date: 14 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0064-z

zbMATH Keywords

critical point theorymultivalued operatornonlinear eigenvalue problemClarke's generalized gradientresonant problemrelative rearrangement

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Existence of solution for a anisotropic equation with critical exponent.
• Eigenvalue problems for anisotropic elliptic equations: an Orlicz-Sobolev space setting
• Orlicz spaces and modular spaces
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Existence results for variational-hemivariational problems with lack of convexity
• Generalized eigenvalue problem for totally discontinuous operators
• Eigenvalue problems with fully discontinuous operators and critical exponents
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Multi-valued boundary value problems involving Leray-Lions operators and discontinuous non\-linearities
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Eigenvalue problems for the \(p\)-Laplacian
• Relative rearrangement method for estimating dual norms
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• Spectrum in an unbounded interval for a class of nonhomogeneous differential operators
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids