Pohozaev-type inequalities and their applications for elliptic equations

Pohozaev-type inequalities and their applications for elliptic equations

Abstract 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.

Bibliographic Details
Main Authors: Bingyu Kou, Tianqing An
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Boundary Value Problems
Subjects:
Pohozaev-type inequality
p-Laplacian
quasi-linear equation
positive solutions
non-star-shaped domain
non-existence
Online Access:http://link.springer.com/article/10.1186/s13661-017-0835-4
Description
Summary:Abstract 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.
ISSN:1687-2770

Similar Items