一类超流体膜方程解的存在性  

The existence of nontrivial solution for a class of superfluid membrane equation

作　　者：伍芸 屈丽平 WU Yun1, QU Liping2(I. School of Mathematics Science, Guizhou Normal University, Guiyang, Guizhou 550025, China; 2. School of Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, Chin)

机构地区：[1]贵州师范大学数学科学学院 [2]华南理工大学数学学院

出　　处：《贵州师范大学学报（自然科学版）》2018年第2期49-54,共6页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州师范大学博士基金(2016)

摘　　要：主要研究一类超流体膜方程的非平凡解的存在性。首先,我们主要利用变分法把偏微分方程解的问题化为相应的能量泛函的临界点问题,再利用山路引理证明方程能量泛函的临界点的存在性。In this paper, we studied the existence of nontrivial solution for a class of superfluid mem- brane equation. By using the variational method change the problem of the equations to discuss the critical point of the corresponding energy functional problems, we proved the existence of the critical point of energy functional by Mountain Pass Lemma.

关 键 词：超流体膜方程 非平凡解 山路引理 

分 类 号：Q175.29[生物学—水生生物学]