一类薛定谔泊松系统无穷多解的存在性  

Existence of Infinitely Many Solutions for a Class of Schrdinger-Possion System

作　　者：席慧慧 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《太原师范学院学报（自然科学版）》2013年第3期32-35,共4页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章主要讨论一类带有凹凸非线性项的薛定谔泊松系统无穷多解的存在性,利用喷泉定理和对偶喷泉定理分别得到该系统存在无穷多正能量解和负能量解.To study the existence of infinitely many solutions for a class of Schr^dinger- Possion system with concave and convex nonlinearities. By using the fountain theorem and dual fountain theorem, to prove that there exist infinitely many solutions with positive and negative en- ergy respectively.

关 键 词：喷泉定理 对偶喷泉定理 薛定谔泊松系统 正能量解 负能量解 

分 类 号：O177.91[理学—数学]