Normalized solutions for a Schrödinger equation with critical growth in

CO Alves, C Ji, OH Miyagaki - Calculus of Variations and Partial …, 2022 - Springer
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 …

Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

J Borthwick, X Chang, L Jeanjean, N Soave - Nonlinearity, 2023 - iopscience.iop.org
In this paper we are concerned with the existence of normalized solutions for nonlinear
Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L 2 …

On existence of multiple normalized solutions to a class of elliptic problems in whole

CO Alves - Zeitschrift für angewandte Mathematik und Physik, 2022 - Springer
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 …

Multiplicity of normalized solutions for a Schr\"{o}dinger equation with critical growth in

CO Alves, C Ji, OH Miyagaki - arxiv preprint arxiv:2103.07940, 2021 - arxiv.org
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

B Bieganowski, J Mederski, J Schino - The Journal of Geometric Analysis, 2024 - Springer
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 …

Normalized solutions for Schrödinger system with quadratic and cubic interactions

X Luo, J Wei, X Yang, M Zhen - Journal of Differential Equations, 2022 - Elsevier
In this paper, we give a complete study on the existence and non-existence of solutions to
the following mixed coupled nonlinear Schrödinger system {− Δ u+ λ 1 u= β u v+ μ 1 u 3+ ρ v …

Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems

T Bartsch, H Li, W Zou - Calculus of Variations and Partial Differential …, 2023 - Springer
The paper is concerned with the existence and asymptotic properties of normalized ground
states of the following nonlinear Schrödinger system with critical exponent:-Δ u+ λ 1 u=| u …

Normalized ground state solutions of nonlinear Schrödinger equations involving exponential critical growth

X Chang, M Liu, D Yan - The Journal of Geometric Analysis, 2023 - Springer
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 …

Mass threshold of the limit behavior of normalized solutions to Schrödinger equations with combined nonlinearities

S Qi, W Zou - Journal of Differential Equations, 2023 - Elsevier
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 …

Normalized ground states for a coupled Schrödinger system: Mass super-critical case

L Jeanjean, J Zhang, X Zhong - Nonlinear Differential Equations and …, 2024 - Springer
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 …