In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with
Hardy-Littlewood-Sobolev critical exponents,− a+ b∫ RN|∇ u| 2 dx Δ u= α k (x)| u| q− 2 u+ …

We consider the following Kirchhoff–Choquard equation− M (‖∇ u‖ L 2 2) Δ u= λ f (x)| u|
q− 2 u+∫ Ω| u (y)| 2 μ∗| x− y| μ dy| u| 2 μ∗− 2 u in Ω, u= 0 on∂ Ω, where Ω is a bounded …

This paper deals with existence of a nontrivial positive solution to systems of equations
involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via a …

This article deals with a survey of recent developments and results on Choquard equations
where we focus on the existence and multiplicity of solutions of the partial differential …

The theory of elliptic equations involving singular nonlinearities is well-studied topic but the
interaction of singular type nonlinearity with nonlocal nonlinearity in elliptic problems has not …

Fractional elliptic systems with critical nonlinearities Page 1 Nonlinearity PAPER Fractional
elliptic systems with critical nonlinearities To cite this article: Mousomi Bhakta et al 2021 …

In this paper we study the existence, multiplicity, and regularity of positive weak solutions for
the following Kirchhoff–Choquard problem: M∬ ℝ 2 N| u (x)− u (y)| 2| x− y| N+ 2 sdxdy (− Δ) …

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 …

In this article, we consider the quasilinear Choquard equation with critical nonlinearity in
RN:− ε 2 Δ u+ V (x) u− ε 2 u Δ u 2=∫ RN| u| 2 2 μ∗| x− y| μ dy| u| 2 2 μ∗− 2 u+ h (x, u) u …

In this note, we are concerned with the following critical Choquard equation with lower linear
perturbation-Δ u+ a (x) u=(I α∗| u| 2 α∗)| u| 2 α∗-2 u, u∈ D 1, 2 (RN). where N≥ 3, max {N …