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 / P. Mastrolia, D..D. Monticelli, F. Punzo. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 367:3-4(2017 Apr), pp. 929-963.
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia;D..D. Monticelli;F. Punzo
2017-04
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.
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