In the present paper, we investigate the existence of ground state solutions to the Sobolev
critical nonlinear Schrödinger equation\begin {equation}\begin {cases}-\Delta u+\lambda u …

We look for solutions to the Schrödinger-Poisson-Slater equation (0.1)− Δ u+ λ u− γ (| x|− 1⁎|
u| 2) u− a| u| p− 2 u= 0 in R 3, which satisfy‖ u‖ L 2 (R 3) 2= c for some prescribed c> 0 …

In this paper, we study the existence of multiple normalized solutions to the following class of
elliptic problems-Δ u= λ u+ h (ϵ x) f (u), in RN,∫ RN| u| 2 dx= a 2, where a, ϵ> 0, λ∈ R is an …

In this paper, by using the variational methods, we study the existence of minimizer of the L 2-
constraint minimization problem: Υ a= inf J (u): u∈ H 1 (RN),∫ RN| u| 2 dx= a 2 with different …

We look for least energy solutions to the cooperative systems of coupled Schrödinger
equations {-Δ u_i+ λ _i u_i= ∂ _iG (u)\quad in {R^ N,\N ≥ 3,\u_i ∈ H^ 1 (R^ N),\∫ _ R^ N …

We are interested in the existence of normalized solutions to the problem (-Δ) mu+ μ| y| 2
mu+ λ u= g (u), x=(y, z)∈ RK× RN-K,∫ RN| u| 2 dx= ρ> 0, in the so-called at least mass …

We study the existence, non-existence and multiplicity of prescribed mass positive solutions
to a Schrödinger equation of the form− Δ u+ λ u= g (u), u∈ H 1 (RN), N≥ 1. Our approach …

We are concerned with the following nonlinear Schrödinger equation:-Δ u+ λ u= f (u) in R 2,
u∈ H 1 (R 2),∫ R 2 u 2 dx= ρ, where ρ> 0 is given, λ∈ R arises as a Lagrange multiplier …

This paper aims to give an affirmative answer to a conjecture raised by Soave (2020)[25]
and considers the qualitative properties of normalized solutions to Sobolev critical/subcritical …

We consider the existence of solutions (λ 1, λ 2, u, v)∈ R 2×(H 1 (RN)) 2 to systems of
coupled Schrödinger equations-Δ u+ λ 1 u= μ 1 up-1+ β r 1 ur 1-1 vr 2 in RN,-Δ v+ λ 2 v= μ 2 …