On a new critical point theorem and some applications to discrete equations

DOI10.7494/OPMATH.2014.34.4.725zbMath1329.49012MaRDI QIDQ3458988

Marek Galewski, Elzbieta Galewska

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

multiple solutionsdiscrete equationscritical point theoremFenchel-Young duality

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27)

Related Items (2)

Existence of two solutions for a fourth-order difference problem with \(p(k)\) exponent ⋮ A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems

Cites Work

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• Positive homoclinic solutions for the discrete \(p\)-Laplacian with a coercive weight function.
• A new variational principle and duality for periodic solutions of Hamilton's equations
• The dual variational method for n-th order ODEs with multipoint boundary conditions

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