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

共 50 条

[21] MULTIPLE SOLUTIONS FOR A CLASS OF SEMILINEAR DIRICHLET PROBLEMS
CAC, NP
SCHULZ, F
HOUSTON JOURNAL OF MATHEMATICS, 1991, 17 (01): : 71 - 81
[22] On existence and stability of solutions for higher order semilinear Dirichlet problems
Galewski, Marek
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2008, 118 (04): : 627 - 635
[23] Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator
Mashiyev, Rabil
Yucedag, Zehra
Ogras, Sezgin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (67)
[24] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A DIRICHLET PROBLEM INVOLVING PERTURBED p(x)-LAPLACIAN OPERATOR
Abdou, Aboubacar
Marcos, Aboubacar
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[25] Existence of Solutions for the Discrete Dirichlet Problem Involving p-Mean Curvature Operator
Wang, Jianxia
Zhou, Zhan
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
[26] On existence and stability of solutions for higher order semilinear Dirichlet problems
Marek Galewski
Proceedings Mathematical Sciences, 2008, 118 : 627 - 635
[27] ON SPIKE SOLUTIONS OF SINGULARLY PERTURBED SEMILINEAR DIRICHLET PROBLEM
JANG, JD
JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 114 (02) : 370 - 395
[28] SOLUTIONS WITH MULTIPLE ALTERNATE SIGN PEAKS ALONG A BOUNDARY GEODESIC TO A SEMILINEAR DIRICHLET PROBLEM
D'Aprile, Teresa
Pistoia, Angela
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2014, 16 (01)
[29] Asymptotic behavior of positive solutions of a semilinear Dirichlet problem
Maagli, Habib
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (09) : 2941 - 2947
[30] Existence of infinitely many solutions for a class of semilinear subelliptic equations on rational Carnot groups
Loiudice, Annunziata
ADVANCED NONLINEAR STUDIES, 2007, 7 (02) : 163 - 185

← 1 2 3 4 5 →