p. 81 - 91 Comparison results for nonlinear elliptic equations involving a Finsler-Laplacian J. Jaroš Received: February 28, 2013; Accepted: June 17, 2013 Abstract. Picone identity for a Finsler-Lapace operator is established and comparison theorems of the Leighton type for a pair of nonlinear elliptic equations involving such operators are obtained with the help of this new formula. Keywords: Picone identity; Finsler-Laplacian. AMS Subject classification: Primary: 35B05, 35J70 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 © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |