Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614738 | Journal of Mathematical Analysis and Applications | 2015 | 21 Pages |
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
Authors
Shaowei Chen, Lishan Lin, Liqin Xiao,