Weak linking

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• 作者：Schechter ; Martin ; Zou ; Wenming
• 关键词：primary 35J65 ; 58E05 ; 49B27 ; Critical point theory ; Variational methods ; Saddle point theory ; Semilinear differential equations
• 刊名：Nonlinear Analysis
• 出版年：2003
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：December, 2003
• 卷：55
• 期：6
• 页码：695-706
• 文件大小：230 K

摘要

We show how critical point linking theory can be carried over to situations (such as infinite-dimensional splitting) where linking does not occur, provided an additional assumption is made on the functional. The assumption we make is that the derivative of the functional has weak-to-weak continuity. This assumption is satisfied in many applications. We present one here.