Multiple solutions for strongly resonant nonlinear elliptic problems with discontinuities

DOI10.1090/S0002-9939-05-07864-0zbMath1130.35033MaRDI QIDQ4671875

Sophia Th. Kyritsi, Nikolaos S. Papageorgiou

Publication date: 27 April 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

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 (1)

On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle

Cites Work

• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• Critical point theory for nondifferentiable functionals and applications
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Optimization and nonsmooth analysis
• Non-trivial solutions of elliptic equations at resonance
• The dual variational principle and discontinuos elliptic problems with strong resonance at infinity
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