26 citations · 46 across the 11 of their papers we have counts for
13 papers
Existence results for singular p-biharmonic problem with Hardy potential and critical Hardy-Sobolev exponent
Gurpreet Singh
In this article, we consider the singular biharmonic problem involving Hardy potential and citical Hardy-Sobolev exponent. We study the existence of ground state solutions and…
Blow-up radial solutions for elliptic systems with monotonic non-linearities
Daniel Devine, Gurpreet Singh
We are concerned with the existence and boundary behaviour of positive radial solutions for the system \begin{equation*} \left\{ \begin{aligned} Δu&=g(|x|,v(x)) &&\quad\mbox{in}\ Ω…
Existence and boundary behaviour of radial solutions for weighted elliptic systems with gradient terms
Gurpreet Singh, Daniel Devine
We are concerned with the existence and boundary behaviour of positive radial solutions for the system \begin{equation*} \left\{ \begin{aligned} Δu&=|x|^{a}v^{p} &&\quad\mbox{ in }…
A study of biharmonic equation involving nonlocal terms and critical Sobolev exponent
Gurpreet Singh
In this paper, we investigate the existence of ground state solutions and non-existence of non-trivial weak solution of biharmonic equation with some nonlocal terms and critical So…
Quasilinear elliptic inequalities with Hardy potential and nonlocal terms
Marius Ghergu, Paschalis Karageorgis, Gurpreet Singh
We study the quasilinear elliptic inequality $$ -Δ_m u - \fracμ{|x|^m}u^{m-1} \geq (I_α*u^p)u^q \quad\mbox{ in }\mathbb{R}^N\setminus \overline B_1, N\geq 1, $$ where , $q, μ\…
Weighted Choquard equation perturbed with weighted nonlocal term
Gurpreet Singh
We investigate the following problem $$ -{\rm div}(v(x)|\nabla u|^{m-2}\nabla u)+V(x)|u|^{m-2}u= \Big(|x|^{-θ}*\frac{|u|^{b}}{|x|^α}\Big)\frac{|u|^{b-2}}{|x|^α}u+λ\Big(|x|^{-γ}*\fr…