2023
DOI: 10.1002/mma.9568
|View full text |Cite
|
Sign up to set email alerts
|

Rigidity results for the p‐Laplace type equations on compact Riemannian manifolds

Abstract: In this paper, we obtain two rigidity results for ‐Laplace type equation and ‐Laplace equation with exponential nonlinearity on ‐dimensional compact Riemannian manifolds by using of nonlinear flow and the carré du champ methods, respectively, where rigidity means that the PDE has only constant solution when a parameter is in a certain range. Moreover, an interpolation inequality is derived as an application.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 9 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?