ON CONSTANTS OF SOME REGULARITY THEOREMS - DE-GIORGI TYPE COUNTEREXAMPLE

Authors
LEONARDI S
Citation
S. Leonardi, ON CONSTANTS OF SOME REGULARITY THEOREMS - DE-GIORGI TYPE COUNTEREXAMPLE, Mathematische Nachrichten, 192, 1998, pp. 191-204
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
192
Year of publication
1998
Pages
191 - 204
Database
ISI
SICI code
0025-584X(1998)192:<191:OCOSRT>2.0.ZU;2-W
Abstract
We shall explicitly evaluate important constants in embedding theorems and Holder-regularity theorems for an elliptic equation of the type - Sigma(i,j=1)(N) partial derivative/partial derivative x(i) (a(ij)(x) partial derivative u/partial derivative x(j)) = - Sigma(i=1)(N) partia l derivative f(i)/partial derivative x(i), a(ij)(x) is an element of L -infinity (Omega).