Djida, Jean DanielFernández, Arran2020-11-112020-11-112018Djida, J.-D.; Fernandez, A. Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions. Axioms 2018, 7, 65http://hdl.handle.net/10347/23667The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet–Neumann boundary conditions. The degenerate elliptic equation arises from the Bernardis–Reyes–Stinga–Torrea extension of the Dirichlet problem for the Marchaud fractional derivativeeng© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Marchaud fractional derivativeInterior regularitySchauder estimateExtension problemFractional order weighted Sobolev spacesjournal article0.3390/axioms70300652075-1680open access