井冈山大学学报（自然科学版）2016，Vol.37Issue(6)：6-10,5.DOI:10.3969/j.issn.1674-8085.2016.06.002
非线性薛定谔-麦克斯韦方程无穷多高能解的存在性
EXISTENCE OF INFINITELY MANY LARGE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER-MAXWELL EQUATIONS
摘要
Abstract
Based on the critical point theory, we study the existence of infinitely many high energy solutions for a class of nonlinear Schrödinger-Maxwell equations. Under certain assumptions onV and f, we obtain infinitely many large solutions for the equations. Furthermore,V and f (x,t) are allowed to be sign-changing. Even in definite case, our assumptions are weaker than the existing results. Different from mountain pass theorem in previous literatures, we conduct the study by using fountain theorem. Our experimental results improve and generalize the existing results.关键词
薛定谔-麦克斯韦方程/变分方法/临界点理论/喷泉定理/高能解Key words
Schrödinger-Maxwell equations/variational methods/critical point theory/fountain theorem/high energy solution分类
数理科学引用本文复制引用
吕定洋..非线性薛定谔-麦克斯韦方程无穷多高能解的存在性[J].井冈山大学学报（自然科学版）,2016,37(6):6-10,5.基金项目
湖南省自然科学基金项目(14JJ7083)；湖南省教育厅科学研究项目(14C0253) （14JJ7083）
