Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations

Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains

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Fractional elliptic equations, Caccioppoli estimates and regularity

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Infinite Speed of Propagation and Regularity of Solutions to the Fractional Porous Medium Equation in General Domains

(2016) Matteo Bonforte et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Boundary regularity for fully nonlinear integro-differential equations

(2016) Xavier Ros-Oton et al.   DUKE MATHEMATICAL JOURNAL

Regularity theory for general stable operators

(2016) Xavier Ros-Oton et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Fractional nonlinear degenerate diffusion equations on bounded domains part I. Existence, uniqueness and upper bounds

(2016) Matteo Bonforte et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Nonlocal elliptic equations in bounded domains: a survey

(2016) X. Ros-Oton   PUBLICACIONS MATEMATIQUES

Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators

(2015) Gerd Grubb   ADVANCES IN MATHEMATICS

A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains

(2015) Matteo Bonforte et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

(2015) Matteo Bonforte et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Schauder estimates for solutions of linear parabolic integro-differential equations

(2015) Tianling Jin et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

On the spectrum of two different fractional operators

(2014) Raffaella Servadei et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions

(2014) Xavier Cabré et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators

(2014) Juan-Luis Vázquez   Discrete and Continuous Dynamical Systems-Series S

Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

(2013) Xavier Cabré et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

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

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

Schauder estimates for a class of non-local elliptic equations

(2012) Hongjie Dong et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Positive solutions for non local elliptic problems

(2012) Jinggang Tan   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations

(2011) Antonio Capella 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

Regularity Results for Nonlocal Equations by Approximation

(2010) Luis Caffarelli et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations

(2010) Guy Barles 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

On the differentiability of very weak solutions with right-hand side data integrable with respect to the distance to the boundary

(2009) J.I. Díaz et al.   JOURNAL OF FUNCTIONAL ANALYSIS

A priori estimates for integro-differential operators with measurable kernels

(2008) Moritz Kassmann   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS