25 citations · 53 across the 12 of their papers we have counts for
12 papers
Calderón-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We prove Calderón-Zygmund type estimates of weak solutions to non-homogeneous nonlocal parabolic equations under a minimal regularity requirement on kernel coefficients. In particu…
Regularity results for a class of nonlocal double phase equations with VMO coefficients
Sun-Sig Byun, Kyeongbae Kim, Deepak Kumar
We study a class of nonlocal double phase problems with discontinuous coefficients. A local self-improving property and a higher Hölder continuity result for weak solutions to such…
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity
Jacques Giacomoni, Yavdat Il'yasov, Deepak Kumar
We discuss the existence and non-existence of periodic in one variable and compactly supported in the other variables least energy solutions for equations with non-Lipschitz nonlin…
Hölder regularity results for parabolic nonlocal double phase problems
J. Giacomoni, D. Kumar, K. Sreenadh
In this article, we obtain higher Hölder regularity results for weak solutions to nonlocal problems driven by the fractional double phase operator \begin{align*} \mc L u(x):=&2 \;…
Global regularity results for non-homogeneous growth fractional problems
Jacques Giacomoni, Deepak Kumar, K. Sreenadh
This article concerns with the global Hölder regularity of weak solutions to a class of problems involving the fractional -Laplacian, denoted by $(-Δ)^{s_1}_{p}+(-Δ)^{s_2}_{…
Interior and boundary regularity results for strongly nonhomogeneous -fractional problems
Jacques Giacomoni, Deepak Kumar, K. Sreenadh
In this article, we deal with the global regularity of weak solutions to a class of problems involving the fractional -Laplacian, denoted by ,…