Normalized ground states for the NLS equation with combined nonlinearities

N Soave - Journal of Differential Equations, 2020 - Elsevier
We study existence and properties of ground states for the nonlinear Schrödinger equation
with combined power nonlinearities− Δ u= λ u+ μ| u| q− 2 u+| u| p− 2 u in RN, N≥ 1, having …

Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

N Soave - Journal of Functional Analysis, 2020 - Elsevier
We study existence and properties of ground states for the nonlinear Schrödinger equation
with combined power nonlinearities− Δ u= λ u+ μ| u| q− 2 u+| u| 2⁎− 2 u in RN, N≥ 3, having …

[HTML][HTML] A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems

T Bartsch, N Soave - Journal of Functional Analysis, 2017 - Elsevier
The paper deals with the existence of normalized solutions to the system {− Δ u− λ 1 u= μ 1 u
3+ β uv 2 in R 3− Δ v− λ 2 v= μ 2 v 3+ β u 2 v in R 3∫ R 3 u 2= a 1 2 and∫ R 3 v 2= a 2 2 for …

Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

H Luo, Z Zhang - Calculus of Variations and Partial Differential …, 2020 - Springer
We study the normalized solutions of the fractional nonlinear Schrödinger equations with
combined nonlinearities (-Δ)^ su= λ u+ μ| u|^ q-2 u+| u|^ p-2 u\quad in~ R^ N,(-Δ) su= λ u+ μ …

Multiple normalized solutions for a competing system of Schrödinger equations

T Bartsch, N Soave - Calculus of Variations and Partial Differential …, 2019 - Springer
We prove the existence of infinitely many solutions λ _1, λ _2 ∈ R λ 1, λ 2∈ R, u, v ∈ H^ 1
(R^ 3) u, v∈ H 1 (R 3), for the nonlinear Schrödinger system-Δ u-λ 1 u= μ u 3+ β uv 2 in R 3 …

Normalized solutions of mass supercritical Schrödinger equations with potential

T Bartsch, R Molle, M Rizzi, G Verzini - Communications in Partial …, 2021 - Taylor & Francis
This paper is concerned with the existence of normalized solutions of the nonlinear
Schrödinger equation− Δ u+ V (x) u+ λ u=| u| p− 2 u in RN in the mass supercritical and …

[HTML][HTML] Normalized solutions for a system of coupled cubic Schrödinger equations on R3

T Bartsch, L Jeanjean, N Soave - Journal de Mathématiques Pures et …, 2016 - Elsevier
We consider the system of coupled elliptic equations {− Δ u− λ 1 u= μ 1 u 3+ β uv 2− Δ v− λ 2
v= μ 2 v 3+ β u 2 v in R 3, and study the existence of positive solutions satisfying the …

Normalized solutions for a coupled Schrödinger system

T Bartsch, X Zhong, W Zou - Mathematische Annalen, 2021 - Springer
In the present paper, we prove the existence of solutions (λ _1, λ _2, u, v) ∈ R^ 2 * H^ 1 (R^
3, R^ 2)(λ 1, λ 2, u, v)∈ R 2× H 1 (R 3, R 2) to systems of coupled Schrödinger equations-Δ …

Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case

Y Ding, X Zhong - Journal of Differential Equations, 2022 - Elsevier
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≥ …

Multiple positive normalized solutions for nonlinear Schrödinger systems

T Gou, L Jeanjean - Nonlinearity, 2018 - iopscience.iop.org
Multiple positive normalized solutions for nonlinear Schrödinger systems Page 1 Nonlinearity
PAPER Multiple positive normalized solutions for nonlinear Schrödinger systems To cite this …