An infinite-dimensional linking theorem and applications |
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| Authors: | Martin Schechter Wenming Zou |
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| Affiliation: | a Department of Mathematics, University of California, Irvine, CA 92697-3875, USA
b Department of Mathematical Sciences, Tsinghua University, Beijing 10084, China |
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| Abstract: | In this paper, we establish a new infinite-dimensional linking theorem without (PS)-type assumptions. The new theorem needs a weaker linking geometry and produces bounded (PS) sequences. The abstract result will be applied to the study of the existence of solutions of the strongly indefinite partial differential systems. For the first application, we consider the system |
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| Keywords: | 35J65 35J20 35J55 |
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