MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM | Communications
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EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM:
EXPLORING THE APPLICABILITY OF THE CONCENTRATION–C Page 1 Mathematical Models …

This paper is motivated by the study of a version of the so-called Schrodinger-Poisson-Slater
problem: $$-\Delta u+\omega u+\lambda (u^ 2\star\frac {1}{| x|}) u=| u|^{p-2} u, $$ where …

We study the nonlocal Schrödinger–Poisson–Slater type equation-Δ u+(I_ α* | u |^ p) | u |^ p-
2 u= | u |^ q-2 u\quad in\quad R^ N,-Δ u+(I α∗| u| p)| u| p-2 u=| u| q-2 u in RN, where N ∈ …

This article is directed to the study of the following Schrödinger-Poisson-Slater type
equation:− ε 2 Δ u+ V (x) u+ ε− α (I α∗∣ u∣ 2) u= λ∣ u∣ p− 1 u in RN, where ε, λ> 0 are …

We consider the Schrödinger-Poisson-Slater (SPS) system in \mathbbR^3 and a nonlocal
SPS type equation in balls of \mathbbR^3 with Dirichlet boundary conditions. We show that …

In this paper, we study constraint minimizers u of the planar Schrödinger-Poisson system
with a logarithmic convolution potential ln⁡| x|⁎ u 2 and a logarithmic external potential V …

u=| u| p− 1 u, x∈ R3, where V (x) is an external potential and p∈(1, 5). The interest on this
problem stems from the Slater approximation of the exchange term in the Hartree-Fock …

In this paper we investigate the existence of positive solutions to the following Schrödinger–
Poisson–Slater system where Ω is a bounded domain in R3, λ is a fixed positive parameter …

In this paper the following version of the Schrödinger–Poisson–Slater problem is studied:
where u: ℝ3→ ℝ and μ> 0. The case p< 2 being already studied, we consider here p≥ 2 …