Existence results for operator equations in partially ordered sets and applications

DOI10.1016/j.na.2004.07.048zbMath1078.47028OpenAlexW2077036856MaRDI QIDQ1765203

Seppo Heikkilä

Publication date: 23 February 2005

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.2004.07.048

zbMATH Keywords

elliptic equationsparabolic equationsoperator equationordered space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (2)

Existence results for nonlocal and nonsmooth hemivariational inequalities ⋮ Existence results for operator and differential equations and inclusions

Cites Work

• Operator and differential equations in ordered spaces
• Differentiability of Lipschitz functions on metric measure spaces
• Existence results for operator equations in abstract spaces and an application
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Elliptic problems with lack of compactness via a new fixed point theorem
• Operator equations in orderd sets and discontinuous implicit parabolic equations
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