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.
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)
出处
《贵州师范大学学报（自然科学版）》
CAS
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)
关键词
超流体膜方程
非平凡解
山路引理
superfluid membrane equation
nontrivial solution
Mountain Pass Lemma
