I study the existence of ground state for the following periodic Schrödinger equation under the circumstance that the nonlinear term satisfies odd conditions by using the Mountain Pass Lemma and variational method. $$-\Delta u+V(x)u-\Delta(1+u^2)^{{1}/{2}}{u\over 2(1+u^2)^{{1}/{2}}}=f\,(x, u).$
We study the qualitative properties of ground states of the time-independent magnetic semilinear Sch...
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, ...
In this paper we study the nonlinear Schrödinger–Maxwell equations −\Delta u + V (x)u +φu = |u|^{...
Abstract. We study the existence of the ground state solution of the problem −∆u+ V (x)u = f ′(u) x ...
In this paper, we consider the Schrödinger equation with a nonlinearity in the critical growth. The...
This paper is dedicated to studying the nonlinear Schrödinger equations of the for
AbstractWe study the following system of nonlinear Schrödinger equations:{−Δu+μu=|u|p−1u+λv,x∈RN,−Δv...
We study the existence and non-existence of ground states for the Schrödinger equations $-\Delta u...
On a bounded domain of $IR^N$, we are interested in the nonlinear Schrödinger problem $-Delta u + V(...
AbstractWe consider the nonlinear stationary Schrödinger equation −Δu+V(x)u=f(x,u) in RN. Here f is ...
We consider the nonlinear Schrödinger equation \begin{equation*} -\Delta u + (1+\mu g(x))u = f(u) \q...
This article concerns the Schrodinger equation $$\displaylines{ -\Delta u+V(x)u=f(x, u), \quad \te...
In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the pape...
We study existence and properties of ground states for the nonlinear Schrödinger equation with combi...
We consider a nonlinear Schr\uf6dinger equation $\displaystyle iu_{t} -h_{0}u + \beta ( \vert u\ver...
We study the qualitative properties of ground states of the time-independent magnetic semilinear Sch...
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, ...
In this paper we study the nonlinear Schrödinger–Maxwell equations −\Delta u + V (x)u +φu = |u|^{...
Abstract. We study the existence of the ground state solution of the problem −∆u+ V (x)u = f ′(u) x ...
In this paper, we consider the Schrödinger equation with a nonlinearity in the critical growth. The...
This paper is dedicated to studying the nonlinear Schrödinger equations of the for
AbstractWe study the following system of nonlinear Schrödinger equations:{−Δu+μu=|u|p−1u+λv,x∈RN,−Δv...
We study the existence and non-existence of ground states for the Schrödinger equations $-\Delta u...
On a bounded domain of $IR^N$, we are interested in the nonlinear Schrödinger problem $-Delta u + V(...
AbstractWe consider the nonlinear stationary Schrödinger equation −Δu+V(x)u=f(x,u) in RN. Here f is ...
We consider the nonlinear Schrödinger equation \begin{equation*} -\Delta u + (1+\mu g(x))u = f(u) \q...
This article concerns the Schrodinger equation $$\displaylines{ -\Delta u+V(x)u=f(x, u), \quad \te...
In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the pape...
We study existence and properties of ground states for the nonlinear Schrödinger equation with combi...
We consider a nonlinear Schr\uf6dinger equation $\displaystyle iu_{t} -h_{0}u + \beta ( \vert u\ver...
We study the qualitative properties of ground states of the time-independent magnetic semilinear Sch...
In this paper we study ground states of the following fractional Schrödinger equation where s ∈ (0, ...
In this paper we study the nonlinear Schrödinger–Maxwell equations −\Delta u + V (x)u +φu = |u|^{...
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