3 citations · 9 across the 10 of their papers we have counts for
12 papers · 1 filter
On weighted -Hardy inequality on domains in
Divya Goel, Yehuda Pinchover, Georgios Psaradakis
We consider weighted -Hardy inequalities involving the distance to the boundary of a domain in the -dimensional Euclidean space with nonempty boundary. Using criticality th…
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…
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…
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…