Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (1): 55-64.doi: 10.1016/S0252-9602(10)60022-7

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INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE

LIU Chao-Xia   

  1. Department of Information and Computational Science, School of Sciences, Minzu University of China, Beijing 100081, China
  • Received:2008-08-07 Online:2010-01-20 Published:2010-01-20

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.

Key words: semilinear elliptic systems, variational functional, (P.S.)c sequence, critical point

CLC Number: 

  • 35J60
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