A general variational principle and some of its applications

2004/12/31 by Biagio Ricceri · 1 citation
Mathematics · #math.OC #msc:49J27 #msc:49J45

paper · pdf

published as J. Comput. Appl. Math., 113 (2000), 401-410 · 10 pages

arxiv created 2004/12/31 · arxiv updated 2009/12/01

Abstract

In this paper, given a reflexive real Banach space X and two sequentially weakly lower semicontinuous functionals Phi, Psi on X with Psi strongly continuous and coercive, we are mainly interested in the existence of infinitely many local minima of the functional capital Phi + r Psi for each sufficiently real r.

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• Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups

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