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20162025
most citedInterior and boundary regularity results for strongly nonhomogeneous -fractional problems

3 citations · 15 across the 21 of their papers we have counts for

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Showing 2019Show all

8 papers · 1 filter

math.AP2019

Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights

R. Arora, J. Giacomoni, T. Mukherjee +1

In this work, we study the higher order Kirchhoff type Choquard equation involving a critical exponential non-linearity and singular weights. We prove the existence of solut…

math.AP2019

Regularity results on a class of doubly nonlocal problems

Jacques Giacomoni, Divya Goel, K. Sreenadh

The purpose of this article is twofold. First, an issue of regularity of weak solution to the problem (See below) is addressed. Secondly, we investigate the question of

math.AP20192 cited

Brezis-Nirenberg type result for Kohn Laplacian with critical Choquard Nonlinearity

Divya Goel, K. Sreenadh

In this article, we are study the following Dirichlet problem with Choquard type non linearity \[ -Δ_{\mathbb{H}} u = a u+ \left(\int_Ω\frac{|u(η)|^{Q^*_λ}}{|η^{-1}ξ|^λ}dη\right)|u…

math.AP2019

Singular elliptic problems with unbalanced growth and critical exponent

Deepak Kumar, V. D. Radulescu, K. Sreenadh

In this article, we study the existence and multiplicity of solutions of the following -Laplace equation with singular nonlinearity: \begin{equation*} \left\{\begin{array}{r…

math.AP20191 cited

Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

Divya Goel, K. Sreenadh

The paper is concerned with the existence and multiplicity of positive solutions of the nonhomogeneous Choquard equation over an annular type bounded domain. Precisely, we consider…

math.AP20193 cited

Regularity and multiplicity results for fractional -Laplacian equations

Divya Goel, Deepak Kumar, K. Sreenadh

This article deals with the study of the following nonlinear doubly nonlocal equation: \begin{equation*} (-Δ)^{s_1}_{p}u+\ba(-Δ)^{s_2}_{q}u = \la a(x)|u|^{δ-2}u+ b(x)|u|^{r-2} u,\;…