Abstract In this note we consider the problem where u, ϕ ∈ H0 1(Ω) and Ω ⊂ ℝ3 is a smooth bounded domain. We are interested in existence and multiplicity of solutions depending on the parameters p and λ. Our results extend previous work made in ℝ3
Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type ...
Let $\Omega$ be a smooth bounded domain in R^n (n ≥ 3) such that 0 ∈ ∂Ω. We consider issues of non-e...
International audienceWe look for solutions to the Schrödinger-Poisson-Slater equation $$- \Delta u ...
Abstract In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω...
In the spirit of the classical work of P. H. Rabinowitz on nonlinear Schrödinger equations, we prove...
Abstract This paper is concerned with the problem (*) { − Δ u + a ( x ) u = u n + 2 n − 2 in Ω u > 0...
We study a static version of the Schroedinger–Poisson–Slater equation, with a power nonlinear term. ...
We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in...
We show that the number of solutions of a double singularly perturbed Schrödinger Maxwell system on...
In this paper we study the nonlinear Schrodinger-Poisson system with a perturbation: \begin{equation...
AbstractIn this paper we study the Schrödinger–Poisson system(SP){−Δu+u+K(x)ϕ(x)u=a(x)|u|p−1u,x∈R3,−...
AbstractIn this paper we investigate the existence of positive solutions to the following Schrödinge...
AbstractThis work is concerned with a nonlinear system of Schrödinger–Poisson equations in a bounded...
In this paper we consider the system in ℝ 3(0.1) -ε 2 Δu + V(x)u + Φ(x)u = u p, -ΔΦ = u 2, for p ε (...
Our main equation of study is the nonlinear Schr¨odinger-Poisson system⇢−Du+u+r(x)fu = |u|p−1u, x 2 ...
Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type ...
Let $\Omega$ be a smooth bounded domain in R^n (n ≥ 3) such that 0 ∈ ∂Ω. We consider issues of non-e...
International audienceWe look for solutions to the Schrödinger-Poisson-Slater equation $$- \Delta u ...
Abstract In this paper, we concern with the following Schrödinger-Poisson system: {−Δu+ϕu=f(x,u),x∈Ω...
In the spirit of the classical work of P. H. Rabinowitz on nonlinear Schrödinger equations, we prove...
Abstract This paper is concerned with the problem (*) { − Δ u + a ( x ) u = u n + 2 n − 2 in Ω u > 0...
We study a static version of the Schroedinger–Poisson–Slater equation, with a power nonlinear term. ...
We consider positive solutions of the equation -Δu = λ(1 + u)p with Dirichlet boundary conditions in...
We show that the number of solutions of a double singularly perturbed Schrödinger Maxwell system on...
In this paper we study the nonlinear Schrodinger-Poisson system with a perturbation: \begin{equation...
AbstractIn this paper we study the Schrödinger–Poisson system(SP){−Δu+u+K(x)ϕ(x)u=a(x)|u|p−1u,x∈R3,−...
AbstractIn this paper we investigate the existence of positive solutions to the following Schrödinge...
AbstractThis work is concerned with a nonlinear system of Schrödinger–Poisson equations in a bounded...
In this paper we consider the system in ℝ 3(0.1) -ε 2 Δu + V(x)u + Φ(x)u = u p, -ΔΦ = u 2, for p ε (...
Our main equation of study is the nonlinear Schr¨odinger-Poisson system⇢−Du+u+r(x)fu = |u|p−1u, x 2 ...
Existence of solution, and L2 and H1 localization results on a class of nonlinear Schrödinger type ...
Let $\Omega$ be a smooth bounded domain in R^n (n ≥ 3) such that 0 ∈ ∂Ω. We consider issues of non-e...
International audienceWe look for solutions to the Schrödinger-Poisson-Slater equation $$- \Delta u ...