Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
Abstract
We prove nonexistence of nontrivial, possibly sign changing, stable solutions to a class of quasilinear elliptic equations with a potential on Riemannian manifolds, under suitable weighted volume growth conditions on geodesic balls.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2016
- DOI:
- 10.48550/arXiv.1607.08470
- arXiv:
- arXiv:1607.08470
- Bibcode:
- 2016arXiv160708470M
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35B35;
- 35J70;
- 58J05