Cover Image

Existence and multiplicity of normalized solutions to a large class of elliptic equations on bounded domains with general boundary conditions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alves, Claudianor O., He, Zhentao, Ji, Chao
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35A15, 35J25, 35Q55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Existence of normalized solutions to nonlinear Schrödinger equations on lattice graphs
by: He, Zhentao, et al.
Published: (2025)

Existence and multiplicity results for a class of Kirchhoff-Choquard equations with a generalized sign-changing potential
by: Böer, Eduardo de Souza, et al.
Published: (2022)

Existence and non-existence of ground state solutions for magnetic NLS
by: Asipchuk, Oleg, et al.
Published: (2024)

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
by: Alves, Claudianor O., et al.
Published: (2025)

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)

Normalized solutions for NLS equations with potential on bounded domains: Ground states and multiplicity
by: Zhang, He, et al.
Published: (2024)

Positive normalized solutions of Schrödinger equations with Sobolev critical growth in bounded domains
by: Chang, Xiaojun, et al.
Published: (2025)

Scattering and blow up for nonlinear Schrödinger equation with the averaged nonlinearity
by: Kawakami, Jumpei
Published: (2023)

Nonrelativistic limit of normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities
by: He, Zhentao, et al.
Published: (2025)

Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance
by: Miyazaki, Hayato, et al.
Published: (2025)

Normalized vector solutions of nonlinear Schrödinger systems
by: Huang, Xiaomeng, et al.
Published: (2025)

Concentrating solutions of nonlinear Schrödinger systems with mixed interactions
by: Guo, Qing, et al.
Published: (2025)

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

Strichartz estimates for a Schrödinger equation on the half-line with a Neumann boundary condition
by: Garofalo, Nicola, 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)

Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials
by: Kawamoto, Masaki, et al.
Published: (2024)

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

Multiplicity of normalized solutions for the fractional Schrödinger equation with potentials
by: Zhang, Xue, et al.
Published: (2024)

Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains
by: Nogueira, Adán J. Corcho. Marcelo, et al.
Published: (2024)

Construction of two-bubble solutions for the energy-critical Hartree equation
by: Jendrej, Jacek, et al.
Published: (2026)

Radial symmetry, uniqueness and non-degeneracy of solutions to degenerate nonlinear Schrödinger equations
by: Gou, Tianxiang
Published: (2025)

Standing wave solutions of a quasilinear Schrödinger equation in the small frequency limit
by: Genoud, François, et al.
Published: (2024)

Stability of bound states for regularized nonlinear Schrödinger equations
by: Albert, John, et al.
Published: (2024)

The "good" Boussinesq equation on the half-line with Robin boundary conditions
by: Agarwal, Shivani, et al.
Published: (2026)

Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
by: Cao, Xiao-Dong, et al.
Published: (2025)

On completeness of modified wave operators for defocusing NLS
by: Georgiev, Vladimir, et al.
Published: (2025)

Relaxing the sharp density stratification and columnar motion assumptions in layered shallow water systems
by: Adim, Mahieddine, et al.
Published: (2024)

Infinitely many solutions for a class of fractional Schrodinger equations coupled with neutral scalar field
by: Shen, Liejun, et al.
Published: (2024)

Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data
by: Park, Dongjin
Published: (2023)

Normalized solutions of nonlinear magnetic Schrödinger equations on metric graphs
by: d'Avenia, Pietro, et al.
Published: (2025)

Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials
by: Kawamoto, Masaki, et al.
Published: (2022)

Singularities of solutions to nonlinear Schrödinger equations
by: Abe, Fumihito, et al.
Published: (2024)

Revisiting the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
by: Luong, Hung
Published: (2025)

Global well-posedness of the NLS hierarchy with nonzero boundary condition
by: Liao, Xian, et al.
Published: (2025)

Global solutions for 1D cubic defocusing dispersive equations, Part IV: general dispersion relations
by: Ifrim, Mihaela, et al.
Published: (2024)

On the cubic-quintic Schrödinger equation
by: Baldelli, Laura
Published: (2025)

A generalised Nehari manifold method for a class of non linear Schrödinger systems in $\mathbb{R}^3$
by: Cortopassi, Tommaso, et al.
Published: (2024)

Energy transfer for solutions to the nonlinear Schrödinger equation on irrational tori
by: Hrabski, Alexander, et al.
Published: (2021)

Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations
by: Cui, Zhi-Yuan, et al.
Published: (2024)