On the relationship between two three-critical-point theorems

DOI10.1016/j.na.2011.09.052zbMath1242.58007OpenAlexW2075720003MaRDI QIDQ412654

Francesca Faraci, Sun-ra J. N. Mosconi

Publication date: 4 May 2012

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.2011.09.052

zbMATH Keywords

critical pointsnonlinear analysisconcave functionsminimax inequality

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (1)

A further refinement of a three critical points theorem

Cites Work

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• A minimax inequality and its applications to ordinary differential equations
• Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities
• A mountain pass theorem
• On a three critical points theorem
• A three critical points theorem and its applications to the ordinary Dirichlet problem
• A general variational principle and some of its applications
• On the structure of the critical set of non-differentiable functions with a weak compactness condition
• On a minimax problem of Ricceri

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