Hölder regularity for non divergence form elliptic equations with discontinuous coefficients

2012/10/18 by Giuseppe Di Fazio, Di Fazio, Giuseppe, Maria Stella Fanciullo +3
Mathematics · #35J15 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J15

paper · pdf · doi:10.48550/arxiv.1210.5164

arxiv created 2012/10/18 · arxiv updated 2012/10/19

Abstract

In this note we study the global regularity in the Morrey spaces for the second derivatives for the strong solutions of non variational elliptic equations.

Related

• Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
• Fine regularity for elliptic systems with discontinuous ingredients
• A regularity result for a class of non-uniformly elliptic operators
• Geometric regularity for elliptic equations in double-divergence form
• Regularity for solutions of non-uniformly elliptic equations in non-divergence form