Semilinear systems with a multi-valued nonlinear term

DOI10.1515/MATH-2017-0056OpenAlexW2626918862MaRDI QIDQ2364758

Suk-Joon Hong, In-Sook Kim

Publication date: 25 July 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0056

zbMATH Keywords

degree theorysemilinear systemmulti-valued operatoroperators of monotone type

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Periodic solutions to PDEs (35B10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Second-order semilinear hyperbolic equations (35L71) Topological and monotonicity methods applied to PDEs (35A16)

Cites Work

• Periodic solutions of semilinear wave equations with discontinuous nonlinearities
• An extension of Leray-Schauder degree and applications to nonlinear wave equations
• Semilinear equations at resonance with non-symmetric linear part
• Semilinear problems with a non-symmetric linear part having an infinite dimensional kernel
• An extension of the topological degree in Hilbert space
• A multiplicity result for a class of nonlinear problems with application to a nonlinear wave equation
• Forced vibrations for a nonlinear wave equation
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Inequalities verified by asymmetric nonlinear operators
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