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Global Morrey Regularity of Strong Solutions to the Dirichlet Problem for Elliptic Equations with Discontinuous Coefficients

✍ Scribed by Giuseppe Di Fazio; Dian K. Palagachev; Maria Alessandra Ragusa

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
159 KB
Volume
166
Category
Article
ISSN
0022-1236

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✦ Synopsis

Well-posedness is proved in the space W 2, p, * (0) & W 1, p 0 (0) for the Dirichlet problem

u=0 a.e. in 0 on 0 if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO & L (0).

1999 Academic Press 1. INTRODUCTION In the last thirty years a number of papers have been devoted to the study of local and global regularity properties of strong solutions to elliptic Article ID jfan.1999.

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