We prove the existence of infinitely many solutions λ1, λ2∈ R, u, v∈ H1(R3), for the nonlinear Schrödinger system -Δu-λ1u=μu3+βuv2inR3-Δv-λ2v=μv3+βu2vinR3u,v>0inR3∫R3u2=a2and∫R3v2=a2,where a, μ> 0 and β≤ - μ are prescribed. Our solutions satisfy u≠ v so they do not come from a scalar equation. The proof is based on a new minimax argument, suited to deal with normalization conditions
In this paper, we are concerned with the following coupled Schrödinger equations −λ2Δu+a1xu=cxv+a2xu...
© 2018 Texas State University. In this article, we focus on the existence of infinitely many weak so...
In this thesis, we are concerned with the existence and orbital stability of solutions having prescr...
We prove the existence of infinitely many solutions λ1, λ2∈ R, u, v∈ H1(R3), for the nonlinear Schrö...
In this paper, we study the following system -ε2v + V (x)v + ψ(x)v = vp, x ε R3, -Δψ=1/εv 2,lim |ψ|(...
This paper deals with existence and multiplicity of solutions to the nonlinear Schrödinger equation ...
We consider the system of coupled elliptic equations−Δu−λ1u=μ1u3+βuv2−Δv−λ2v=μ2v3+βu2vin R3, and stu...
The paper deals with the existence of normalized solutions to the system âÎuâλ1u=μ1u3+βuv2in R3â...
AbstractWe consider the following nonlinear problem in RN(0.1){−Δu+V(|y|)u=uN+2N−2,u>0, in RN;u∈H1(R...
AbstractIn this paper, we study the existence of infinitely many nontrivial solutions for a class of...
AbstractIn this paper, we find new conditions to ensure the existence of infinitely many homoclinic ...
The paper deals with the equation - Δ u+ a(x) u= | u| p-1u, u∈ H1(RN) , with N≥ 2 , p>1,p 0 , lim |x...
We study the multiplicity of solutions for a class of semilinear Schrödinger equations: -Δu+V(x)u=gx...
AbstractBased on new information concerning strongly indefinite functionals without Palais–Smale con...
AbstractMotivated by problems arising in nonlinear optics and Bose–Einstein condensates, we consider...
In this paper, we are concerned with the following coupled Schrödinger equations −λ2Δu+a1xu=cxv+a2xu...
© 2018 Texas State University. In this article, we focus on the existence of infinitely many weak so...
In this thesis, we are concerned with the existence and orbital stability of solutions having prescr...
We prove the existence of infinitely many solutions λ1, λ2∈ R, u, v∈ H1(R3), for the nonlinear Schrö...
In this paper, we study the following system -ε2v + V (x)v + ψ(x)v = vp, x ε R3, -Δψ=1/εv 2,lim |ψ|(...
This paper deals with existence and multiplicity of solutions to the nonlinear Schrödinger equation ...
We consider the system of coupled elliptic equations−Δu−λ1u=μ1u3+βuv2−Δv−λ2v=μ2v3+βu2vin R3, and stu...
The paper deals with the existence of normalized solutions to the system âÎuâλ1u=μ1u3+βuv2in R3â...
AbstractWe consider the following nonlinear problem in RN(0.1){−Δu+V(|y|)u=uN+2N−2,u>0, in RN;u∈H1(R...
AbstractIn this paper, we study the existence of infinitely many nontrivial solutions for a class of...
AbstractIn this paper, we find new conditions to ensure the existence of infinitely many homoclinic ...
The paper deals with the equation - Δ u+ a(x) u= | u| p-1u, u∈ H1(RN) , with N≥ 2 , p>1,p 0 , lim |x...
We study the multiplicity of solutions for a class of semilinear Schrödinger equations: -Δu+V(x)u=gx...
AbstractBased on new information concerning strongly indefinite functionals without Palais–Smale con...
AbstractMotivated by problems arising in nonlinear optics and Bose–Einstein condensates, we consider...
In this paper, we are concerned with the following coupled Schrödinger equations −λ2Δu+a1xu=cxv+a2xu...
© 2018 Texas State University. In this article, we focus on the existence of infinitely many weak so...
In this thesis, we are concerned with the existence and orbital stability of solutions having prescr...