Calculus of Variations and Geometric Measure Theory

L. D'Onofrio - L. Greco

On the Regularity of Solutions to a Nonvariational Elliptic Equation

created on 08 Jan 2002
modified by greco on 15 Dec 2005

[BibTeX]

Published Paper

Inserted: 8 jan 2002
Last Updated: 15 dec 2005

Journal: Annales de la Faculte des Sciences de Tolouse
Volume: XI
Number: 1
Pages: 47-56
Year: 2002

Abstract:

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\vglue 2truein {\parindent 0pt \parfillskip 0pt plus1fil \obeylines \everypar{\hfil}{\baselineskip 1.2 \baselineskip % \bf \uppercase{On the Regularity of Solutions to a Nonvariational Elliptic Equation} } \noindent Luigi D'Onofrio\qquad Luigi Greco \noindent Dipartimento di Matematica e Applicazioni ``R. Caccioppoli" Università degli Studi, Via Cintia -- 80126 NAPOLI, ITALY {\sl email:}\ ldonofri@unina.it\qquad luigreco@unina.it \noindent \noindent }

\section{ABSTRACT} We make a detailed study of the degree of regularity of all solutions of a nonvariational elliptic partial differential equation. Such equation has often turned out to be a source of counter examples which are critical to the theory of PDE's.\end