Existence of multiple solutions to semilinear Dirichlet problem for subelliptic operator

被引：3
|
作者：
Chen, Hua [1 ]
Chen, Hong-Ge [1 ]
Yuan, Xin-Rui [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2020年 / 1卷 / 06期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Finitely degenerate elliptic equations; weighted Sobolev spaces; Generalized M & eacute; tivier index; REGULARITY;
D O I：
10.1007/s42985-020-00052-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of multiple solutions to the Dirichlet problem for a class of semilinear subelliptic equations associated with the H & ouml;rmander type operator. By using mountain pass theorem and Ekeland's variational principle respectively, we obtain two different nontrivial weak solutions for the problem.
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收藏
页数：16
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