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20162021
most citedInterior and boundary regularity results for strongly nonhomogeneous -fractional problems

3 citations · 15 across the 15 of their papers we have counts for

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math.AP20213 cited

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 ,…

math.AP2020

Variational framework and Lewy-Stampacchia type estimates for nonlocal operators on Heisenberg group

Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

The aim of this article is to derive some Lewy-Stampacchia estimates and existence of solutions for equations driven by a nonlocal integro-differential operator on the Heisenberg g…

math.AP2020

A qualitative study of (p,q) Singular parabolic equations: local existence, Sobolev regularity and asymptotic behaviour

Jacques Giacomoni, Deepak Kumar, K. Sreenadh

The purpose of the article is to study the existence, regularity, stabilization and blow up results of weak solution to the following parabolic -singular equation: \begin{eq…

math.AP2020

Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems

J. Giacomoni, Deepak Kumar, K. Sreenadh

This article deals with the study of the following singular quasilinear equation: \begin{equation*} (P) \left\{ \ -Δ_{p}u -Δ_{q}u = f(x) u^{-δ},\; u>0 \text{ in }\; \Om; \; u=0 \te…

math.AP20202 cited

Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities

Jacques Giacomoni, Divya Goel, K. Sreenadh

The theory of elliptic equations involving singular nonlinearities is well studied topic but the interaction of singular type nonlinearity with nonlocal nonlinearity in elliptic pr…

math.AP2020

Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases

Deepak Kumar, V. Radulescu, K. Sreenadh

This paper deals with the qualitative analysis of solutions to the following -fractional equation: \begin{equation*} \begin{array}{rllll} (-Δ)^{s_1}_{p}u+(-Δ)^{s_2}_{q}u+V(x…