An Extension Problem Related to the Fractional Laplacian

DOI10.1080/03605300600987306zbMath1143.26002arXivmath/0608640OpenAlexW3103229763MaRDI QIDQ5421519

Luis Silvestre, Luis A. Caffarelli

Publication date: 24 October 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608640

zbMATH Keywords

fractional LaplacianDegenerate elliptic equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Degenerate elliptic equations (35J70)

Cites Work

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• The Wiener test for degenerate elliptic equations
• Properties of the solutions of the linearized Monge-Ampere equation
• A Regularity Theorem for a Singular Elliptic Equation
• The local regularity of solutions of degenerate elliptic equations
• On viscosity solutions of fully nonlinear equations with measurable ingredients