Existence of sign-changing solution for a problem involving the fractional Laplacian with critical growth nonlinearities

On the structure of the nodal set and asymptotics of least energy sign-changing radial solutions of the fractional Brezis–Nirenberg problem

(2018) G. Cora et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems

(2016) Alessio Fiscella et al.   BULLETIN DES SCIENCES MATHEMATIQUES

Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$ R n

(2016) Serena Dipierro et al.   MANUSCRIPTA MATHEMATICA

Bifurcation and multiplicity results for critical fractionalp-Laplacian problems

(2015) Kanishka Perera et al.   MATHEMATISCHE NACHRICHTEN

Fractional Laplacian equations with critical Sobolev exponent

(2015) Raffaella Servadei et al.   Revista Matematica Complutense

Existence of weak solutions for non-local fractional problems via Morse theory

(2014) Massimiliano Ferrara et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian

(2014) Xiaojun Chang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Higher nonlocal problems with bounded potential

(2014) Giovanni Molica Bisci et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

The Brezis-Nirenberg result for the fractional Laplacian

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

Existence of nodal solution for semi-linear elliptic equations with critical sobolev exponent on singular manifold

(2013) Xiaochun LIU et al.   ACTA MATHEMATICA SCIENTIA

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

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

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

Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains

(2013) Claudianor O. Alves et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

On some critical problems for the fractional Laplacian operator

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

Hitchhikerʼs guide to the fractional Sobolev spaces

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

Mountain Pass solutions for non-local elliptic operators

(2011) Raffaella Servadei et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

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