Nonlinear second order differential inclusions with a series of convex functions

DOI10.1016/j.na.2010.01.036zbMath1201.34023OpenAlexW1972563225MaRDI QIDQ965016

Qing-Hua Zhang

Publication date: 21 April 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.2010.01.036

zbMATH Keywords

Sobolev spacefixed pointsubdifferentialmaximal monotone mapcompletely continuous operatorYoshida approximationlower semi-continuousupper semi-continuousconvex and proper functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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• Nonlinear boundary value problems for some ordinary and partial differential equations associated with monotone operators
• Systems of differential inclusions with maximal monotone terms
• Solvability of strongly nonlinear boundary value problems for second order differential inclusions
• The method of upper-lower solutions for nonlinear second order differential inclusions
• Nonlinear boundary value problems for second order differential inclusions
• On a class of second order differential inclusions driven by the scalar \(p\)-Laplacian
• Critical point theory and Hamiltonian systems
• Periodic problems for strongly nonlinear second-order differential inclusions
• Nonlinear boundary value problems involving the \(p\)-Laplacian and \(p\)-Laplacian-like operators
• Fixed point theory and nonlinear problems
• A topological fixed-point index theory for evolution inclusions

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