3 citations · 6 across the 6 of their papers we have counts for
6 papers
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…
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…
On the Second Eigenvalue of Combination Between Local and Nonlocal -Laplacian
Divya Goel, K. Sreenadh
In this paper, we study Mountain Pass Characterization of the second eigenvalue of the operator $-\De_p u -\De_{J,p}u$ and study shape optimization problems related to these eigenv…
Positive solutions for nonlinear Choquard equation with singular nonlinearity
Tuhina Mukherjee, Konijeti Sreenadh
In this article, we study the following nonlinear Choquard equation with singular nonlinearity \begin{equation*} \quad -\De u = \la u^{-q} + \left( \int_{\Om}\frac{|u|^{2^*_μ}}{|x-…