Eigenvalue problems with fully discontinuous operators and critical exponents

DOI10.1016/j.na.2010.05.033zbMath1194.35294OpenAlexW2045926048MaRDI QIDQ988855

Jean Michel Rakotoson, Houssam Chrayteh

Publication date: 19 August 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.2010.05.033

zbMATH Keywords

mountain pass theoremClarke subdifferentialnonlinear eigenvaluesBanach function normsmultivoque operators

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) General theory of partial differential operators (47F05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Compactness in Banach (or normed) spaces (46B50) Applications of functional analysis to differential and integral equations (46N20)

Related Items (4)

The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities ⋮ Qualitative properties of eigenvectors related to multivalued operators and some existence results ⋮ Existence and multiplicity of solutions for discontinuous problems with critical Sobolev exponents ⋮ Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

Cites Work

• Existence of solution for a anisotropic equation with critical exponent.
• Orlicz spaces and modular spaces
• A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems
• Relative rearrangement. An estimation tool for boundary problems
• Compactness and quasilinear problems with critical exponents.
• Generalized eigenvalue problem for totally discontinuous operators
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Quasilinear elliptic problems with measures as data
• On a perturbed anisotropic equation with a critical exponent
• Equivalent Norms for Sobolev Spaces
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