In this paper we study the existence of normalized solutions to the following nonlinear
Schrödinger equation with critical growth-Δ u= λ u+ f (u), in RN, u> 0,∫ RN| u| 2 dx= a 2 …

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 present paper, we prove the existence of solutions (λ, u)∈ R× H 1 (RN) to the following
Schrödinger equation {− Δ u (x)+ V (x) u (x)+ λ u (x)= g (u (x)) in RN 0≤ u (x)∈ H 1 (RN), N≥ …

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 …

We study the existence of positive solutions with prescribed L 2-norm for the mass
supercritical Schrödinger equation− Δ u+ λ u− V (x) u=| u| p− 2 uu∈ H 1 (RN), λ∈ R, where …

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 …

In this paper we study the multiplicity of normalized solutions to the following nonlinear
Schr\"{o} dinger equation with critical growth\begin {align*}\left\{\begin {aligned} &-\Delta …

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations
and Related Curl–Curl Problems | The Journal of Geometric Analysis Skip to main content …

In this paper, we study the normalized solutions to the following system {− Δ u+(V 1 (x)+ λ 1)
u= μ 1| u| p− 2 u+ β v in RN,− Δ v+(V 2 (x)+ λ 2) v= μ 2| v| q− 2 v+ β u in RN,∫ RN u 2= a,∫ …

In this paper, we prove the existence of normalized positive solutions to the following
Schrödinger equation with a perturbation-Δ u+ λ u=| u| p-2 u+ h (x) in RN,∫ RN u 2 dx= a …