Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

A critical fractional equation with concave–convex power nonlinearities

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

Ground states and concentration phenomena for the fractional Schrödinger equation

(2015) Mouhamed Moustapha Fall et al.   NONLINEARITY

Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations

(2015) Guoyuan Chen   NONLINEARITY

Concentration phenomenon for fractional nonlinear Schrödinger equations

(2014) Guoyuan Chen et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problemviapenalization method

(2014) Giovany M. Figueiredo et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions

(2014) Tianling Jin et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

A Brezis-Nirenberg result for non-local critical equations in low dimension

(2013) Raffaella Servadei et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary

(2013) Xavier Ros-Oton et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Concentrating standing waves for the fractional nonlinear Schrödinger equation

(2013) Juan Dávila et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

On fractional Schrödinger equation in RN with critical growth

(2013) Xudong Shang et al.   JOURNAL OF MATHEMATICAL PHYSICS

Ground state solutions for nonlinear fractional Schrödinger equations in RN

(2013) Simone Secchi   JOURNAL OF MATHEMATICAL PHYSICS

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

(2013) X Chang et al.   NONLINEARITY

A concave—convex elliptic problem involving the fractional Laplacian

(2013) C. Brändle et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

On some critical problems for the fractional Laplacian operator

(2012) B. Barrios et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields

(2011) Claudianor O. Alves et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Positive solutions of nonlinear problems involving the square root of the Laplacian

(2010) Xavier Cabré et al.   ADVANCES IN MATHEMATICS

The Brezis–Nirenberg type problem involving the square root of the Laplacian

(2010) Jinggang Tan   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS