On a superquadratic elliptic system with strongly indefinite structure

详细信息    查看全文

• 作者：Cyril Joel Batkam ^{cyril.joel.batkam@usherbrooke.ca" class="auth_mail}
• 关键词：Indefinite functional ; Variant fountain theorem ; Superquadratic nonlinearity
• 刊名：Applied Mathematics and Computation
• 出版年：1 May 2014
• 年：2014
• 卷：233
• 期：Complete
• 页码：243-251
• 全文大小：374 K

文摘

In this paper, we consider the elliptic systemwhere 惟 is a bounded smooth domain in R^N${\mathbb{R}}^N$, and f and g satisfy a general superquadratic condition. By using variational methods, we prove the existence of infinitely many solutions. Our argument relies on the application of a generalized variant fountain theorem for strongly indefinite functionals. Previous results in the topic are improved.