Normalized solutions to the fractional Schrödinger equations with combined nonlinearities

Nonlinear Scalar Field Equations with L 2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

(2019) Jun Hirata et al.   ADVANCED NONLINEAR STUDIES

Multiple normalized solutions for a competing system of Schrödinger equations

(2019) Thomas Bartsch et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime

(2019) Denis Bonheure et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Normalized solutions for nonlinear Schrödinger systems on bounded domains

(2019) Benedetta Noris et al.   NONLINEARITY

Nonradial normalized solutions for nonlinear scalar field equations

(2019) Louis Jeanjean et al.   NONLINEARITY

Dancer–Fuc̆ik spectrum for fractional Schrödinger operators with a steep potential well on RN

(2019) Zhisu Liu et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Minimizers of mass critical Hartree energy functionals in bounded domains

(2018) Yujin Guo et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Correction to: “A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems” [J. Funct. Anal. 272 (12) (2017) 4998–5037]

(2018) Thomas Bartsch et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Multiple positive normalized solutions for nonlinear Schrödinger systems

(2018) Tianxiang Gou et al.   NONLINEARITY

Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials

(2018) Yujin Guo et al.   NONLINEARITY

Unstable normalized standing waves for the space periodic NLS

(2018) Nils Ackermann et al.   Analysis & PDE

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

(2017) Thomas Bartsch et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Normalized solutions for nonlinear Schrödinger systems

(2017) Thomas Bartsch et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Normalized solutions for a system of coupled cubic Schrödinger equations onR3

(2016) Thomas Bartsch et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Existence and orbital stability of standing waves for nonlinear Schrödinger systems

(2016) Tianxiang Gou et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

On Dipolar Quantum Gases in the Unstable Regime

(2016) Jacopo Bellazzini et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Liouville theorems involving the fractional Laplacian on a half space

(2015) Wenxiong Chen et al.   ADVANCES IN MATHEMATICS

Large solutions to elliptic equations involving fractional Laplacian

(2015) Huyuan Chen et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Multiple solutions for nonhomogeneous Schrödinger–Kirchhoff type equations involving the fractional p-Laplacian in $${\mathbb {R}}^N$$ R N

(2015) Patrizia Pucci et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Uniqueness of Radial Solutions for the Fractional Laplacian

(2015) Rupert L. Frank et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Stable solitary waves with prescribed $L^2$-mass for the cubic Schrödinger system with trapping potentials

(2015) Benedetta Noris et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Equations involving fractional Laplacian operator: Compactness and application

(2015) Shusen Yan et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation

(2015) Ying Wang et al.   Advances in Difference Equations

Existence and orbital stability of the ground states with prescribed mass for theL2-critical and supercritical NLS on bounded domains

(2015) Benedetta Noris et al.   Analysis & PDE

Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation

(2014) Jiahong Wu et al.   NONLINEARITY

The Brezis-Nirenberg result for the fractional Laplacian

(2014) Raffaella Servadei et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The existence of normalized solutions for L 2-critical constrained problems related to Kirchhoff equations

(2014) Hongyu Ye   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Ground state solutions for nonlinear fractional Schrödinger equations in RN

(2013) Simone Secchi   JOURNAL OF MATHEMATICAL PHYSICS

Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

(2013) Masataka Shibata   MANUSCRIPTA MATHEMATICA

Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

(2013) X Chang et al.   NONLINEARITY

Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

(2013) Jacopo Bellazzini et al.   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

Normalized solutions of nonlinear Schrödinger equations

(2012) Thomas Bartsch et al.   ARCHIV DER MATHEMATIK

Variational methods for non-local operators of elliptic type

(2012) Enrico Valdinoci et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

(2012) Patricio Felmer et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

A Harnack inequality for fractional Laplace equations with lower order terms

(2011) Jinggang Tan et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS