Normalized solutions for a Schrödinger equation with critical growth in
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 …
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
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 …
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 …
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
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 …
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
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …