一类带权非线性椭圆方程多重解的存在性问题  

Multiple Solutions for a Class of Weighted Nonlinear Elliptic Equations

作　　者：林美琳[1] 

机构地区：[1]莆田学院数学学院,福建莆田351100

出　　处：《莆田学院学报》2015年第5期5-7,共3页Journal of putian University

摘　　要：解的存在性问题有很多种研究方法,如不动点方法、拓扑度方法等。采用变分方法,应用对偶喷泉定理来讨论一类带权的非线性椭圆方程在零点附近无穷多解的存在性问题,且这些解的能量是负的。There are many methods to study the existence problem of solutions, such as the Fixed Point method and the Topological Degree method. The variational method was used in this paper. Dual Fountain theorem was adopted to study the existence of infinitely many critical values for the weighted nonlinear elliptic equations with negative energy.

关 键 词：变分方法 多重解 非线性椭圆方程 对偶喷泉定理 

分 类 号：O175.25[理学—数学]