3 citations · 9 across the 21 of their papers we have counts for
7 papers · 1 filter
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 …
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…
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…
The effect of topology on the number of positive solutions of elliptic equation involving Hardy-Littlewood-Sobolev critical exponent
Divya Goel
In this article we are concern for the following Choquard equation \[ -Δu = λ|u|^{q-2}u +\left(\int_Ω\frac{|u(y)|^{2^*_μ}}{|x-y|^μ} dy \right)|u|^{2^*_μ-2} u \; \text{in}\; Ω,\quad…
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,\;…
Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
Divya Goel, K. Sreenadh
We consider the following Kirchhoff - Choquard equation \[ -M(\|\na u\|_{L^2}^{2})\De u = \la f(x)|u|^{q-2}u+ \left(\int_{\Om}\frac{|u(y)|^{2^*_μ}}{|x-y|^μ}dy\right)|u|^{2^*_μ-2}u…