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.

引用

页数：16

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