p. 231 - 244 Regularity and a priori estimates of solutions to semilinear elliptic systems I. Kosírová Received: October 1, 2009; Accepted: October 21, 2009 Abstract. We improve recent results of Li [11] on L¥-regularity and a priori estimates for non-negative very weak solutions of elliptic systems in bounded domains. The proof is based on an alternate-bootstrap procedure in the scale of weighted Lebesgue spaces. Keywords: very weak solutions; elliptic system; a priori estimates; regularity. AMS Subject classification: Primary: 35J55, 35J65 Secondary: 35B33, 35B45, 35B65 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 © 2010, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |