INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE

doi:10.1016/S0252-9602(10)60022-7

摘要/Abstract

摘要：

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.

关键词: semilinear elliptic systems, variational functional, (P.S.)_c sequence, critical point

Abstract:

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

中图分类号:

35J60

刘朝霞. INFINITELY MANY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH STRONGLY INDEFINITE VARIATIONAL STRUCTURE[J]. 数学物理学报(英文版), 2010, 30(1): 55-64.

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.

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