On the construction of Ljusternik-Schnirelmann critical values in Banach spaces

DOI10.1007/BF01903800zbMath0755.47046MaRDI QIDQ1187242

A. Lehtonen

Publication date: 28 June 1992

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

duality mappingnonlinear partial differential equations\(p\)-Laplacian operatornonlinear eigenvalue problemcritical valuesuniformly convex Banach spacesLjusternik-Schnirelman critical point theory

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Set-valued operators (47H04) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical methods for partial differential equations, boundary value problems (65N99)

Cites Work

• Ljusternik-Schnirelman theory and non-linear eigenvalue problems
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