The Pohozaev Identity for the Fractional Laplacian

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

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

A concave—convex elliptic problem involving the fractional Laplacian

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

Sharp energy estimates for nonlinear fractional diffusion equations

(2012) Xavier Cabré et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Fractional Laplacian: Pohozaev identity and nonexistence results

(2012) Xavier Ros-Oton et al.   COMPTES RENDUS MATHEMATIQUE

Nonexistence results for a class of fractional elliptic boundary value problems

(2012) Mouhamed Moustapha Fall et al.   JOURNAL OF FUNCTIONAL ANALYSIS

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

Heat kernel estimates for the fractional Laplacian with Dirichlet conditions

(2010) Krzysztof Bogdan et al.   ANNALS OF PROBABILITY

Variational problems with free boundaries for the fractional Laplacian

(2010) Luis Caffarelli et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Regularity theory for fully nonlinear integro-differential equations

(2009) Luis Caffarelli et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS