Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity

A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.

Bibliographic Details
Main Author: Paola Magrone
Format: Article
Language:English
Published: Università degli Studi di Catania 2014-10-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1063
Description
Summary:A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.
ISSN:0373-3505
2037-5298