Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry

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• 作者：Liang Zhang^a ; ^{mathspaper2012@163.com} ; Yi Chen^b
• 关键词：35A15 ; 49J35 ; 47G20
• 刊名：Nonlinear Analysis: Theory, Methods & Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：151
• 期：Complete
• 页码：126-144
• 全文大小：760 K
• 卷排序：151

文摘

This paper is concerned the existence of infinitely many solutions for perturbed sublinear indefinite elliptic equations involving the nonlocal operator. By using a variant of Rabinowitz’s perturbation method, we study the effect of high order non-odd perturbations which break the symmetry of the associated energy functional and show how a sequence of small negative energy solutions persists under broken symmetry situations.