Multiple positive solutions for Kirchhoff-Schrödinger-Poisson system with general singularity

Positive solutions of Schrödinger-Kirchhoff-Poisson system without compact condition

Multiple Positive Solutions for a Schrödinger-poisson-slater System

In this paper we investigate the existence of positive solutions to the following Schrödinger-Poisson-Slater system

Positive solutions for asymptotically periodic Kirchhoff-type equations with critical growth

In this paper‎, ‎we consider the following Kirchhoff-type equations‎: ‎$-‎left(a+bint_{mathbb{R}^{3}}|nabla u|^{2}right)Delta u+V(x) u=lambda$ $f(x,u)+u^{5}‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$u(x)>0‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$uin H^{1}(mathbb{R}^{3})‎ ,‎$ ‎ ‎‎‎where $a,b>0$ are constants and $lambda$ is a positive parameter‎. ‎The aim of this paper is to study the existence of positive ...

Infinitely Many Solutions for Fractional Schrödinger-poisson Systems with Sign-changing Potential

In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential (−∆)u+ V (x)u+ λφu = f(x, u), x ∈ R, (−∆)φ = u, x ∈ R, where (−∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on f , we obtain infinitely many solutions for this sys...

Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent

The existence of positive solutions to Schrödinger–Poisson type systems in R 3 with critically growing nonlocal term is proved by using variational method which does not require usual compactness conditions. A key ingredient of the proof is a new Brézis–Lieb type convergence result.