Articles

INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE

  • LIU Chao-Xia
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  • Department of Information and Computational Science, School of Sciences, Minzu University of China, Beijing 100081, China

Received date: 2008-08-07

  Online 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.

Cite this article

LIU Chao-Xia . INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 55 -64 . DOI: 10.1016/S0252-9602(10)60022-7

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