8 citations · 17 across the 28 of their papers we have counts for
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regularity for quasilinear parabolic equations with nonstandard growth
Karthik Adimurthi, Suchandan Ghosh, Vivek Tewary
In this paper, we obtain estimates for weak solutions of certain quasilinear parabolic equations satisfying nonstandard growth conditions, the prototype examples being $$…
Local Hölder regularity for nonlocal parabolic -Laplace equations
Karthik Adimurthi, Harsh Prasad, Vivek Tewary
We prove local Hölder regularity for a nonlocal parabolic equations of the form \begin{align*} \partial_t u + \text{P.V.}\int_{\mathbb{R}^N} \frac{|u(x,t)-u(y,t)|^{p-2}(u(x,t)-u(y,…
Borderline Lipschitz regularity for bounded minimizers of functionals with (p,q)-growth
Karthik Adimurthi, Vivek Tewary
We prove local Lipschitz regularity for bounded minimizers of functionals with nonstandard -growth with the source term in the Lorentz space under the restriction $q<…
Hölder regularity for fractional -Laplace equations
Karthik Adimurthi, Harsh Prasad, Vivek Tewary
We give an alternative proof for Hölder regularity for weak solutions of nonlocal elliptic quasilinear equations modelled on the fractional p-Laplacian where we replace the discret…