6 papers
A supersolution approach to doubly degenerate parabolic equations with weights
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem in the Euclidean space for a doubly degenerate parabolic equation with a space-dependent exponential weight, where the exponent satisfies the doublin…
The Cauchy problem for doubly degenerate parabolic equations with weights
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem in the Euclidean space for a doubly degenerate parabolic equation with a space-dependent exponential weight, roughly speaking of the type of the expo…
Some remarks on the Sobolev inequality in Riemannian manifolds
Daniele Andreucci, Anatoli F. Tedeev
We investigate Sobolev and Hardy inequalities, specifically weighted Minerbe's type estimates, in noncompact complete connected Riemannian manifolds whose geometry is described by…
Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds
Daniele Andreucci, Anatoli Tedeev
We consider the Cauchy problem for doubly nonlinear degenerate parabolic equations with inhomogeneous density on noncompact Riemannian manifolds. We give a qualitative classificati…
Long time behavior of solutions of degenerate parabolic equations with inhomogeneous density on manifolds
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem for doubly non-linear degenerate parabolic equations on Riemannian manifolds of infinite volume, or in . The equation contains a weight functio…
Asymptotic estimates for the p-Laplacian on infinite graphs with decaying initial data
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem for the evolutive discrete p-Laplacian in infinite graphs, with initial data decaying at infinity. We prove optimal sup and gradient bounds for nonne…