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July/August 2017 A three critical points result in a bounded domain of a Banach space and applications
Radu Precup, Patrizia Pucci, Csaba Varga
Differential Integral Equations 30(7/8): 555-568 (July/August 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.

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Radu Precup. Patrizia Pucci. Csaba Varga. "A three critical points result in a bounded domain of a Banach space and applications." Differential Integral Equations 30 (7/8) 555 - 568, July/August 2017.

Information

Accepted: 1 August 2016; Published: July/August 2017
First available in Project Euclid: 4 May 2017

zbMATH: 06738561
MathSciNet: MR3646463

Subjects:
Primary: 34B15, 47J30, 58E05

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 7/8 • July/August 2017
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