We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Rigidity results for the p‐Laplace type equations on compact Riemannian manifolds.
- Authors
Wang, Yu‐Zhao; Wei, Pei‐Can; Zhang, Huiting
- Abstract
In this paper, we obtain two rigidity results for p$$ p $$‐Laplace type equation and n$$ n $$‐Laplace equation with exponential nonlinearity on n$$ n $$‐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.
- Subjects
EQUATIONS; COMPACT spaces (Topology); RIEMANNIAN manifolds; INTERPOLATION
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 17, p18420
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9568