Add to ORKGWe discuss the existence of ground state solutions for the Choquard equation-Δu + u-(Iα←F(u)) F'(u) inℝN. We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity F(u) =|u|p/p. The cases N = 2 and N ≥ 3 are treated differently in some steps. The solutions are found through a variational mountain-pass strategy. The results presented are contained in the papers [8, 2]
We survey old and recent results dealing with the existence and properties of solutions to the Choqu...
In this paper, we are concerned with the following coupled Choquard type system with weighted potent...
For the Choquard equation, which is a nonlocal nonlinear Schrödinger type equation, where, Vμ, 1/2: ...
We discuss the existence of ground state solutions for the Choquard equation-Δu + u-(Iα←F(u)) F'(u) ...
We prove the existence of a nontrivial solution ∈ H¹ (ℝ^N) to the nonlinear Choquard equation -Δ +...
Abstract In this paper we study the existence and multiplicity of solutions for the following nonlin...
We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard equa...
We study existence of radially symmetric solutions for the nonlinear Choquard equation. Using a L...
In this paper we consider nonlinear Choquard equation \begin{equation*} -\Delta u+V(x)u=(I_\alpha*F(...
We prove the existence of ground state solutions by variational methods to the nonlinear Choquard eq...
In this paper, we study a class of Choquard equations with critical exponent and Dipole potential. W...
We consider a nonlinear Choquard equation -Δu+u=(V∗|u|p)|u|p-2uinRN,when the self-interaction potent...
This paper deals with the following Choquard equation with a local nonlinear perturbation
This article concerns the Choquard type equation $$ -\Delta u+V(x)u=\Big(\int_{\mathbb{R}^N}\frac{...
In this paper, we study the existence of ground state solutions for the following nonlinearly couple...
We survey old and recent results dealing with the existence and properties of solutions to the Choqu...
In this paper, we are concerned with the following coupled Choquard type system with weighted potent...
For the Choquard equation, which is a nonlocal nonlinear Schrödinger type equation, where, Vμ, 1/2: ...
We discuss the existence of ground state solutions for the Choquard equation-Δu + u-(Iα←F(u)) F'(u) ...
We prove the existence of a nontrivial solution ∈ H¹ (ℝ^N) to the nonlinear Choquard equation -Δ +...
Abstract In this paper we study the existence and multiplicity of solutions for the following nonlin...
We prove the existence of a nontrivial groundstate solution for the class of nonlinear Choquard equa...
We study existence of radially symmetric solutions for the nonlinear Choquard equation. Using a L...
In this paper we consider nonlinear Choquard equation \begin{equation*} -\Delta u+V(x)u=(I_\alpha*F(...
We prove the existence of ground state solutions by variational methods to the nonlinear Choquard eq...
In this paper, we study a class of Choquard equations with critical exponent and Dipole potential. W...
We consider a nonlinear Choquard equation -Δu+u=(V∗|u|p)|u|p-2uinRN,when the self-interaction potent...
This paper deals with the following Choquard equation with a local nonlinear perturbation
This article concerns the Choquard type equation $$ -\Delta u+V(x)u=\Big(\int_{\mathbb{R}^N}\frac{...
In this paper, we study the existence of ground state solutions for the following nonlinearly couple...
We survey old and recent results dealing with the existence and properties of solutions to the Choqu...
In this paper, we are concerned with the following coupled Choquard type system with weighted potent...
For the Choquard equation, which is a nonlocal nonlinear Schrödinger type equation, where, Vμ, 1/2: ...