Using the bounded mountain pass lemma and the Ekeland variational principle we prove a bounded version of the Pucci-Serrin three critical points result in the intersection of a ball with a wedge in a Banach space. The localization constraints are overcome by boundary and invariance conditions. The result is applied to obtain multiple positive solutions for some semilinear problems.
A three critical points result in a bounded domain of a Banach space and applications
PUCCI, Patrizia
;
2017
Abstract
Using the bounded mountain pass lemma and the Ekeland variational principle we prove a bounded version of the Pucci-Serrin three critical points result in the intersection of a ball with a wedge in a Banach space. The localization constraints are overcome by boundary and invariance conditions. The result is applied to obtain multiple positive solutions for some semilinear problems.File in questo prodotto:
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