Multiple Solutions for Asymptotically Linear Elliptic Systems

By Wenming Zou. 2001

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In this article, we consider cooperative and noncooperative elliptic systems that are asymptotically linear at infinity. We obtain infinitely many solutions with small energy if the potential is even. If the noncooperative system is resonant both at zero and at infinity, then the number of nontrivial solutions depends on the dimension of the eigenspaces between resonant values.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4600350cf12b75f0db7f696909ce2d8dae53f811