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.

Nonexistence of Stable Solutions to Quasilinear Elliptic Equations on Riemannian Manifolds

MONTICELLI, DARIO DANIELE;PUNZO, FABIO;
2017-01-01

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 growth conditions on geodesic balls.
2017
A priori estimates; Riemannian manifolds; Semilinear elliptic equations; Stable solutions; Volume growth conditions; Geometry and Topology
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1028598
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