p. 43 - 54 Regularity of weak solutions of degenerate eliptic equations A. C. Cavalheiro Received: September 25, 2006; Revised: February 7, 2007; Accepted: April 2, 2007 Abstract. In this article we establish the existence of higher order weak derivatives of weak solutions of the Dirichlet problem for a class of degenerate elliptic equations. Keywords: degenerate elliptic equations; weighted Sobolev spaces. AMS Subject classification: Primary: 35J70; 35J25. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |