Minimax principles for convex eigenvalue problems

DOI10.1016/0022-247X(84)90174-4zbMath0591.47045MaRDI QIDQ1074847

Theodore Laetsch

Publication date: 1984

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

zbMATH Keywords

characterizationsaddle pointminimax principlecompact, isotone operatorconvex eigenvalue problemspartially ordered locally convex topological vector space

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• A minimax principle for the critical value of a boundary value problem with positive and increasing nonlinearity
• The theory of forced, convex, autonomous, two point boundary value problems
• Perturbations of a boundary value problem with positive, increasing and convex nonlinearity
• Nonlinear eigenvalue problems with positively convex operators
• Nonlinear eigenvalue problems with monotonically compact operators
• Ordered linear spaces
• Variational methods for nonlinear eigenvalue problems associated with thermal ignition
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Approaches to the Theory of Optimization
• Convex Analysis
• Transposition Theorems for Cone-Convex Functions
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