We establish the existence of ground state solutions, by using a condition lim | t | → ∞ g ( t ) | t | 2 = ν with 189 8 π S ( 32 π 3 ) 5 3 < ν < + ∞ , instead ...

Jan 6, 2020 · We prove that the system admits a ground state solution under the asymptotically 2-linear condition. The result here extends the existing study.

In this paper, we study the following Schrödinger–Poissonsystem −Δu+u+ϕu=g(u),inR³,−Δϕ=u²,inR³,where g is a continuous function and superlinear at zero, ...

We prove that the system admits a ground state solution under the asymptotically 2-linear condition. The result here extends the existing study. Keywords: ...

Download 9 pages fulltext PDF article from 2019 journal: Ground state solutions for an asymptotically 2-linear Schrödinger-Poisson system.

Oct 10, 2022 · This paper is concerned with the existence of ground state solutions for the Schrödinger–Poisson system −Δu + V(x)u + ϕu = |u|4u + λ|u|p−2u ...

Existence of ground state solutions for an asymptotically 2-linear fractional Schrödinger–Poisson system ; Journal: Boundary Value Problems, 2020, № 1 ; Publisher ...

In this paper, we consider the following nonlinear Schrödinger–Poisson system where the nonlinearity f is superlinear at infinity with subcritical or critical ...

This paper is concerned with the existence of ground state solutions for the Schrödinger–Poisson system −Δ u + V( x) u + ϕu = | u|4 u + λ| u| p−2 u in ...

Nov 10, 2015 · Solutions of the Schrödinger–Poisson system concentrating on spheres, part II: existence. Mathematical Models & Methods in Applied Sciences ...