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math.AP2015★ 2 cited
Elliptic and parabolic equations with Dirichlet conditions at infinity on Riemannian manifolds
Paolo Mastrolia, Dario D. Monticelli, Fabio Punzo
We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in , where is a complete noncompact Riemann…
math.AP2015
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
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.…
math.AP2014
Nonexistence results for elliptic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
In this paper we are concerned with a class of elliptic differential inequalities with a potential both on $\erre^m$ and on Riemannian manifolds. In particular, we investigate the…