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math.AP2018
A Liouville theorem for superlinear heat equations on Riemannian manifolds
Daniele Castorina, Carlo Mantegazza, Berardino Sciunzi
We study the triviality of the solutions of weighted superlinear heat equations on Riemannian manifolds with nonnegative Ricci tensor. We prove a Liouville--type theorem for soluti…
math.AP2018
Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations
Daniele Castorina, Giuseppe Riey, Berardino Sciunzi
We consider a class of quasi-linear anisotropic elliptic equations, possibly degenerate or singular, which are of interest in several applications such as computer vision and conti…