We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.

Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds

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

Abstract

We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds. In particular, we highlight the interplay between the geometry of the underlying manifold, the power nonlinearity and the behavior of the potential at infinity.
2017
35K59; 35K92; 35R01; 53C20; Mathematics (all)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1015455
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