Pohozaev-type inequalities and their applications for elliptic equations

Boundary value problems

Bingyu Kou¹  Tianqing An¹ 

[1] College of Science, Hohai University, Nanjing, China

关键词: Pohozaev-type inequality;    p-Laplacian;    quasi-linear equation;    positive solutions;    non-star-shaped domain;    non-existence;   

DOI  :  10.1186/s13661-017-0835-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we derive the Pohozaev-type inequalities for p-Laplacian equations and weighted quasi-linear equations and then prove some non-existence results for the positive solutions of these equations in a class of domains that are more general than star-shaped ones.

【 授权许可】

CC BY