一类带势的非线性双调和方程的多解性  

Multiple solutions of nonlinear biharmonic equation with the potential

作　　者：张新萍[1] 刘逸[1] ZHANG Xin - ping LIU Yi(Jiangxi Vocational College of Industry ＆Engineering, Pingxiang 337000 Chin)

机构地区：[1]江西工业工程职业技术学院

出　　处：《新余学院学报》2017年第5期24-26,共3页Journal of Xinyu University

摘　　要：对一类带势的非线性双调和方程多解的存在性进行了研究。在非线性项和外部势满足某些条件时,通过运用Morse理论得到两个非平凡解的存在性。In this paper, we study multiple solutions of nonlinear biharmonic equation with the potential. When nonlinear item and outer potential are satisfied, the existence of two nontrivial solutions is obtained by using Morse theory.

关 键 词：非线性 双调和方程 MORSE理论 临界群 多解性 

分 类 号：O175.23[理学—数学]