Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations

DOI10.1016/j.jmaa.2004.03.061zbMath1063.47052OpenAlexW2002285568MaRDI QIDQ1883075

Siegfried Carl, Seppo Heikkilä

Publication date: 1 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.061

zbMATH Keywords

weak topologyfixed pointelliptic boundary value problemordered Banach spacemaximal solutionsordered topological vector spacediscontinuous equationincreasing multivalued functionsquasilinear functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20)

Related Items (5)

Inclusion problems in ordered topological vector spaces and applications ⋮ On extremal solutions of inclusion problems with applications to game theory ⋮ Fixed points of discontinuous multivalued operators in ordered spaces with applications ⋮ On explicit and implicit operator and differential inclusions in ordered spaces ⋮ Existence results for operator and differential equations and inclusions

Cites Work

• Fixed points of increasing multivalued operators and an application to discontinuous elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• On fixed points of multifunctions in ordered spaces
• Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's
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