Article ID Journal Published Year Pages File Type
4614738 Journal of Mathematical Analysis and Applications 2015 21 Pages PDF
Abstract

We present a new infinite-dimensional linking theorem for parameter-dependent functionals. This theorem replaces some semi-continuous assumptions in the classical infinite-dimensional linking theorem with new assumptions and insures the existence of bounded and variant Palais–Smale sequences for a strongly indefinite functional. As an application of this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with sign-changing and asymptotically linear nonlinearities.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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