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 2023 · math.APShow all

2 papers · 2 filters

math.AP2023

Borderline gradient regularity estimates for quasilinear parabolic systems with data independent of time

Karthik Adimurthi, Wontae Kim

In this paper, we study some regularity issues concerning the gradient of weak solutions of $u_{t} - div A (x, t, \nabla u) = g$ , where $A (x, t, \nabla u)$ is mo…

math.AP2023★ 1 cited

Gradient regularity for mixed local-nonlocal quasilinear parabolic equations

Karthik Adimurthi, Harsh Prasad, Vivek Tewary

In this paper, we prove local Hölder continuity for the spatial gradient of weak solutions to $$u_t - \text{div} (|\nabla u|^{p-2}\nabla u) + \text{P.V.} \int_{\mathbb{R}^n} \frac{…