Quasilinear differential equations depending on a maximal monotone operator

DOI10.1016/S0362-546X(99)00234-5zbMath0982.34052MaRDI QIDQ5929083

Dimitrios A. Kandilakis

Publication date: 10 April 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

maximal monotone operatornonlinear boundary value problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10)

Cites Work

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• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Boundary value problems of a class of quasilinear ordinary differential equations
• Existence and uniqueness results for some nonlinear boundary value problems
• Absolute continuity on tracks and mappings of Sobolev spaces
• Generalization of Fredholm alternative for nonlinear differential operators

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