K. Adimurthi

activity

20142025

most citedSharp gradient estimates for quasilinear elliptic equations with

p (x)

growth on nonsmooth domains

8 citations · 17 across the 28 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.AP2020

An optimal boundedness result for weak solutions of double phase quasilinear parabolic equations

Karthik Adimurthi, Vivek Tewary

We obtain local boundedness of weak solutions of double phase quasilinear parabolic equations of the form \[u_t-\text{div} \left(|\nabla u|^{p-2}\nabla u+a(x,t)|\nabla u|^{q-2}\nab…

math.AP2020

Unified approach to $C^{1, α}$ regularity for quasilinear parabolic equations

Karthik Adimurthi, Agnid Banerjee

In this paper, we are interested in obtaining a unified approach for $C^{1, α}$ estimates for weak solutions of quasilinear parabolic equations, the prototype example being \[ u_t -…

math.AP2020

Hölder regularity for quasilinear parabolic equations with anisotropic $p$ -Laplace nonlinearity -- Announcement

Karthik Adimurthi

We announce some new results for proving Hölder continuity of weak solutions to quasilinear parabolic equations whose prototype takes the form $$u_t - div (|\nabla u|^{p-2}\nabla u…

An optimal boundedness result for weak solutions of double phase quasilinear parabolic equations

Unified approach to C1,α regularity for quasilinear parabolic equations

Hölder regularity for quasilinear parabolic equations with anisotropic p-Laplace nonlinearity -- Announcement

Unified approach to $C^{1, α}$ regularity for quasilinear parabolic equations

Hölder regularity for quasilinear parabolic equations with anisotropic $p$ -Laplace nonlinearity -- Announcement