A proof of the Dancer's conjecture on fixed point indices of mappings in cones.

DOI10.1016/J.JMAA.2003.10.012zbMath1059.47059OpenAlexW2019613478WikidataQ122978255 ScholiaQ122978255MaRDI QIDQ1428246

Dongsheng Li

Publication date: 14 March 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.2003.10.012

zbMATH Keywords

conefixed point indexpositive operator

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• A priori estimates and existence of positive solutions of semilinear elliptic equations
• On the indices of fixed points of mappings in cones and applications
• Some global results for nonlinear eigenvalue problems
• Multiple fixed points of positive mappings.
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Positive solutions for a three-species competition system with diffusion—I. General existence results
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Solution branches for mappings in cones, and applications

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