## 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.

## Authors

**Radu Precup**

Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

**Patrizia Pucci
**Dipartimento di Matematica e Informatica (DMI) Università di Perugia 06100 Perugia, ITALY

**Csaba Varga**

Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

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## Paper coordinates

R. Precup, P. Pucci, C. Varga, *A three critical point result in a bounded domain of a Banach space and applications*, Differential Integral Equations 30 (2017), no. 7-8, 555-568.

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Differential Integral Equations

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