N. Simonov

activity

20182026

most citedStability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method

10 citations · 17 across the 13 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.AP2021

Functional inequalities and applications to doubly nonlinear diffusion equations

Iwona Chlebicka, Nikita Simonov

We study weighted inequalities of Hardy and Hardy-Poincaré type and find necessary and sufficient conditions on the weights so that the considered inequalities hold. Examples with…

math.AP2021

The Cauchy problem for the fast $p -$ Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour

Matteo Bonforte, Nikita Simonov, Diana Stan

We study fine global properties of nonnegative solutions to the Cauchy Problem for the fast $p$ -Laplacian evolution equation $u_{t} = Δ_{p} u$ on the whole Euclidean space, in the so-cal…

Functional inequalities and applications to doubly nonlinear diffusion equations

The Cauchy problem for the fast p−Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour

The Cauchy problem for the fast $p -$ Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour