A THREE CRITICAL POINTS RESULT IN A BOUNDED DOMAIN OF A BANACH SPACE AND APPLICATIONS

作者:Precup Radu*; Pucci Patrizia; Varga Csaba
来源:Differential and Integral Equations, 2017, 30(7-8): 555-568.

摘要

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.

  • 出版日期2017-8