Nonexistence of Stable Solutions to Quasilinear Elliptic Equations on Riemannian Manifolds

@article{Monticelli2016NonexistenceOS,
  title={Nonexistence of Stable Solutions to Quasilinear Elliptic Equations on Riemannian Manifolds},
  author={D. D. Monticelli and Fabio Punzo and Berardino Sciunzi},
  journal={The Journal of Geometric Analysis},
  year={2016},
  volume={27},
  pages={3030-3050}
}
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 growth conditions on geodesic balls. 

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