Superlinear problems without Ambrosetti and Rabinowitz growth condition
OH Miyagaki, MAS Souto - Journal of Differential Equations, 2008 - Elsevier
OH Miyagaki, MAS Souto
Journal of Differential Equations, 2008•ElsevierSuperlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth
condition are considered. Existence of nontrivial solution result is established by combining
some arguments used by Struwe and Tarantello and Schechter and Zou (also by Wang and
Wei). Firstly, by using the mountain pass theorem due to Ambrosetti and Rabinowitz is
constructed a solution for almost every parameter λ by varying the parameter λ. Then, it is
considered the continuation of the solutions.
condition are considered. Existence of nontrivial solution result is established by combining
some arguments used by Struwe and Tarantello and Schechter and Zou (also by Wang and
Wei). Firstly, by using the mountain pass theorem due to Ambrosetti and Rabinowitz is
constructed a solution for almost every parameter λ by varying the parameter λ. Then, it is
considered the continuation of the solutions.
Superlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth condition are considered. Existence of nontrivial solution result is established by combining some arguments used by Struwe and Tarantello and Schechter and Zou (also by Wang and Wei). Firstly, by using the mountain pass theorem due to Ambrosetti and Rabinowitz is constructed a solution for almost every parameter λ by varying the parameter λ. Then, it is considered the continuation of the solutions.
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