Multiple solutions of quasilinear periodic-parabolic inclusions

DOI10.1016/j.na.2009.11.035zbMath1184.35170OpenAlexW2084626172MaRDI QIDQ847342

Siegfried Carl

Publication date: 12 February 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.2009.11.035

zbMATH Keywords

comparison principlehemivariational inequalityanti-maximum principlesub-supersolution

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Periodic solutions to PDEs (35B10) Degenerate parabolic equations (35K65) Set-valued operators (47H04) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

Decay of energy for second-order boundary hemivariational inequalities with coercive damping ⋮ Coexistence periodic solutions of a doubly nonlinear parabolic system with Neumann boundary conditions ⋮ INHOMOGENEOUS PERIODIC PARABOLIC PROBLEMS WITH INDEFINITE DATA

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• Uniform anti-maximum principles
• Existence of extremal periodic solutions for quasilinear parabolic equations
• Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.
• Comparison Principle For Quasilinear Parabolic Inclusions with Clarke’s Gradient

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