Cover Image

Existence and non-existence of normalized solutions for a nonlinear fractional Schrödinger system

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Chungen, Zhang, Zhigao, Zuo, Jiabin
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35J50, 35J61, 35Q40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The uniqueness and concentration behavior of solutions for a nonlinear fractional Schrödinger system
by: Liu, Chungen, et al.
Published: (2026)

Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
by: Deng, Yinbin, et al.
Published: (2021)

Existence and nonexistence of normalized solutions for nonlinear Schrödinger equation involving combined nonlinearities in bounded domain
by: Jin, Zhen-Feng, et al.
Published: (2026)

Existence and dynamics of normalized solutions to Schrödinger equations with generic double-behaviour nonlinearities
by: Bieganowski, Bartosz, et al.
Published: (2024)

On a class of planar Schrödinger-Poisson system with a bounded potential well
by: Du, Miao, et al.
Published: (2023)

Ground states of planar Schrödinger-Poisson systems with an unbounded potential
by: Du, Miao, et al.
Published: (2024)

On a nonlinear Schrödinger-Bopp-Podolsky system in the zero mass case: functional framework and existence
by: Caponio, Erasmo, et al.
Published: (2025)

Standing waves for nonlinear Hartree type equations: existence and qualitative properties
by: Böer, Eduardo de Souza, et al.
Published: (2024)

Coupled nonlinear Schrödinger equations with point interaction: existence and asymptotic behaviour
by: Osada, Yuki, et al.
Published: (2025)

Normalized solutions for the nonlinear Schrödinger equation with potential: the purely Sobolev critical case
by: Verzini, Gianmaria, et al.
Published: (2025)

Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities
by: Zuo, Jiabin, et al.
Published: (2022)

Existence and concentration of semiclassical bound states for a quasilinear Schrödinger-Poisson system
by: Ramos, Gustavo de Paula, et al.
Published: (2023)

Existence of small semi-vortex solutions for the cubic nonlinear Schrödinger system with Rashba type Spin-Orbit coupling on $\mathbb{R}^2$
by: Inui, Takahisa
Published: (2026)

Asymptotic properties of non-relativistic limit for pseudo-relativistic Hartree equations
by: Chen, Pan, et al.
Published: (2025)

Multiple normalized solutions to a system of nonlinear Schrödinger equations
by: Mederski, Jarosław, et al.
Published: (2024)

Ground states of a coupled pseudo-relativistic Hartree system: existence and concentration behavior
by: He, Huiting, et al.
Published: (2024)

Normalized solutions for the Sobolev critical Schrödinger equation with trapping potential
by: Yu, Junwei
Published: (2025)

Existence of solutions with prescribed frequency for the perturbed Schrödinger-Bopp-Podolsky system in bounded domains
by: Afonso, Danilo Gregorin, et al.
Published: (2025)

Normalized solutions for Sobolev critical Schrödinger equations on bounded domains
by: Pierotti, Dario, et al.
Published: (2024)

Long Time Existence of A Flow of Elliptic Systems
by: Park, Woongbae, et al.
Published: (2025)

Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schrödinger system
by: Clapp, Mónica, et al.
Published: (2024)

Existence and multiplicity of $L^2$-Normalized solutions for the periodic Schrödinger system of Hamiltonian type
by: Qiu, Ruowen, et al.
Published: (2025)

Normalized solutions to mixed dispersion nonlinear Schrödinger system with coupled nonlinearity
by: Jin, Zhen-Feng, et al.
Published: (2025)

Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems
by: Baldelli, Laura, et al.
Published: (2025)

Existence of traveling breather solutions to cubic nonlinear Maxwell equations in waveguide geometries
by: Ohrem, Sebastian, et al.
Published: (2024)

On a zero mass Schrödinger-Bopp-Podolsky system: ground states, nonexistence results and asymptotic behaviour
by: Pomponio, Alessio, et al.
Published: (2025)

On a fractional magnetic pseudorelativistic operator: properties and applications
by: Bernini, Federico, et al.
Published: (2024)

Cluster semiclassical states of the nonlinear Schrödinger-Bopp-Podolsky system
by: Ramos, Gustavo de Paula
Published: (2023)

Blow-up solutions to a class of nonlinear coupled Schrödinger systems with power-type-growth nonlinearities
by: Noguera, Norman
Published: (2024)

Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary
by: Nutt, Richard, et al.
Published: (2026)

Doubly nonlinear Schrödinger normalized ground states on 2D grids: existence results and singular limits
by: Barbera, Daniele, et al.
Published: (2025)

Fractional critical systems with mixed boundary conditions
by: Kumar, R., et al.
Published: (2025)

Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
by: Fujishima, Yohei, et al.
Published: (2024)

Multiplicity of solutions for semilinear Robin problems involving sign-changing nonlinearities
by: Tapia, José Carmona, et al.
Published: (2025)

Normalized solutions for the nonlinear Schrödinger equation with potentials
by: Rizzi, Matteo, et al.
Published: (2025)

A new family of solitons for nonlinear Schrödinger equations with non-vanishing boundary conditions in high dimension
by: Duan, Xiuqing
Published: (2026)

Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
by: Mauro, Simone, et al.
Published: (2025)

Normalized solutions to the Chern-Simons-Schrödinger system: the supercritical case
by: Shen, Liejun, et al.
Published: (2024)

A concentration phenomenon for a semilinear Schrödinger equation with periodic self-focusing core
by: Clapp, Mónica, et al.
Published: (2025)

Schrödinger-Poisson systems with zero mass in the Sobolev limiting case
by: Romani, Giulio
Published: (2023)