Existence of two local minima for functionals on reflexive Banach spaces

DOI10.1016/J.NA.2005.01.096zbMath1065.49014OpenAlexW2078073527MaRDI QIDQ1779847

Giovanni Anello

Publication date: 1 June 2005

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.2005.01.096

zbMATH Keywords

variational methodscritical pointslocal minimareflexive spaces

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Set-valued and variational analysis (49J53) Nonlinear boundary value problems for ordinary differential equations (34B15) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• A mountain pass theorem
• Some remarks on a three critical points theorem
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• On a three critical points theorem
• Multiplicity theorems for the Dirichlet problem involving the \(p\)-Laplacian.
• Existence of three solutions for a nonautonomous two point boundary value problem
• Existence of three solutions for a quasilinear two point boundary value problem
• Existence of three solutions for a class of elliptic eigenvalue problems

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