MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH A DISCONTINUOUS NONLINEARITY

DOI10.1142/S021953050600067XzbMath1199.35084OpenAlexW2167638149MaRDI QIDQ3379452

Nikolaos S. Papageorgiou, Michael E. Filippakis

Publication date: 6 April 2006

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021953050600067x

zbMATH Keywords

maximum principlenonsmooth critical point theory\(p\)-Laplacianlocally Lipschitz functionlocal minimizernonlinear regularity theorydiscontinuous nonlinearity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs with low regular coefficients and/or low regular data (35R05) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle ⋮ WEAK SOLUTIONS OF QUASILINEAR BIHARMONIC PROBLEMS WITH POSITIVE, INCREASING AND CONVEX NONLINEARITIES ⋮ EIGENVALUE PROBLEMS ASSOCIATED WITH NONHOMOGENEOUS DIFFERENTIAL OPERATORS, IN ORLICZ–SOBOLEV SPACES ⋮ Conditions for the solvability of boundary value problems for quasi-elliptic systems in a half-space ⋮ Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition ⋮ On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
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• The dual variational principle and elliptic problems with discontinuous nonlinearities
• Some discontinuous problems with a quasilinear operator
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• Quasilinear elliptic equations involving critical Sobolev exponents
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• Existence of nontrivial solutions of partial differential equations with discontinuous nonlinearities

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