Nonexistence of stable solutions to quasilinear elliptic equations on Riemannian manifolds
classification
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keywords
ellipticequationsmanifoldsnonexistencequasilinearriemanniansolutionsstable
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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.
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