Schrodinger-Poisson system with steep potential well

Abstract

We study the following Schrödinger-Poisson system (P_λ)\{ll} -Δu + (1+μg(x))u+λϕ(x) u =|u|^{p-1}u, x\in \mathbb{R}^3,

arXiv comment30pages

References in corpus (3)

• Ground state solutions to the nonlinear Schrodinger-Maxwell equations
• On the Schrodinger-Maxwell equations under the effect of a general nonlinear term
• Bound states for a stationary nonlinear Schrodinger-Poisson system with sign-changing potential in $R^3$

Cited by in corpus (7)

• Schrödinger-Poisson equations with singular potentials in $R^3$
• Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation
• Existence and concentration of solution for Schrödinger-Poisson system with local potential
• Schrödinger-Poisson systems with a general critical nonlinearity
• Existence of positive multi-bump solutions for a Schrödinger-Poisson system in ${\mathbb{R}}^3$
• Nonlinear Schrödinger equations near an infinite well potential
• Bound state solutions for non-autonomous fractional Schrödinger-Poisson equations with critical exponent