Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space

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

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Aleksandrov–Bakelman–Pucci Type Estimates for Integro-Differential Equations

(2012) Nestor Guillen et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Nonexistence results for a class of fractional elliptic boundary value problems

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

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

The Evans-Krylov theorem for nonlocal fully nonlinear equations

(2011) Luis Caffarelli et al.   ANNALS OF MATHEMATICS

A Harnack inequality for fractional Laplace equations with lower order terms

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

Fundamental solutions and Liouville type theorems for nonlinear integral operators

(2010) Patricio Felmer et al.   ADVANCES IN MATHEMATICS

Regularity theory for fully nonlinear integro-differential equations

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

Existence and non-existence results for fully nonlinear elliptic systems

(2009) Alexander Quaas et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Nonexistence of positive solutions to nonlinear nonlocal elliptic systems

(2008) Z. Dahmani et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

(2007) Guy Barles et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE