In this survey we provide an overview of nonlinear elliptic homogeneous boundary value
problems featuring singular zero-order terms with respect to the unknown variable whose …

We carry out an investigation of the existence of infinitely many solutions to a fractional p-
Kirchhoff-type problem with a singularity and a superlinear nonlinearity with a homogeneous …

The purpose of this article is to prove the existence of solution to a nonlinear nonlocal elliptic
problem with a singularity and a discontinuous critical nonlinearity, which is given as (− Δ) …

In this article, we will prove the existence of infinitely many positive weak solutions to the
following nonlocal elliptic PDE.(-Δ)^ s u&= λ u^ γ+ f (x, u)\quad~ in\quad~ Ω,\u&= 0~\quad …

In this article we study a nonlocal equation involving singular and critical Hardy-Sobolev non-
linearities,(-Δp) su-μ| u| p-2u/| x| sp= λu-α+| u| p* s (t)-2u/| x| t, in Ω, u> 0, in Ω, u= 0, in ℝN\Ω …

The aim of this work is to study the following system:(-Δ) su+ α ϕ u= β u-γ+ g (u)+ h (x) in R 3
u> 0 in R 3 (-Δ) s ϕ= u 2 in R 3. under the Berestycki–Lions type condition. Here α, β> 0 α …

In this paper, we will focus on following nonlocal quasilinear elliptic system with singular
nonlinearities:(S)(-Δ) ps 1 u= 1 v α 1+ v β 1 in Ω,(-Δ) qs 2 u= 1 u α 2+ u β 2 in Ω, u, v= 0 in …

In this paper we investigate the following nonlocal problem with singular term and critical
Hardy-Sobolev exponent (P)(− Δ) su= λ u γ+| u| 2 α∗− 2 u| x| α in Ω, u> 0 in Ω, u= 0 in RN∖ …

In this work we deal with the nonlocal elliptic system:(S){(− Δ) s 1 u= θ vqu 1− θ in Ω,(− Δ) s 2
v= qvq− 1 u θ in Ω, u= v= 0 in RN∖ Ω, u, v> 0 in Ω, where Ω⊂ RN is a bounded regular …

We prove the existence of infinitely many nonnegative solutions to the following nonlocal
elliptic partial differential equation involving singularity (− Δ) p (⋅) su= λ| u| γ (x)− 1 u+ f (x, u) …