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INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE
Authors:Liu Zhaoxia
Institution:Department of Information and Computational Science, School of Sciences, Minzu University of China, Beijing 100081, China
Abstract:Based on the multiplicity results of Benci and Fortunato 4],we consider some elliptic systems with strongly indefinite quadratic part,and establish the existence of infinitely many nontrivial solutions in a suitable family of products of fractional Sobolev spaces.
Keywords:semilinear elliptic systems  variational functional  (P  S  )_c sequence  critical point
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