Journal of Inequalities and Applications 
Volume 6 (2000), Issue 3, Pages 339-357
doi:10.1155/S1025583401000200

Maximum principles and uniqueness results for phi-Laplacian boundary value problems

S. Heikkila1 and S. Seikkala2

 1Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN 90014, Finland
2Division of Mathematics, Department of Electrical Engineering, University of Oulu, P.O. Box 3000, FIN 90014, Finland
Received 7 July 1999; Revised 20 December 1999

Abstract

In this paper we derive maximum and comparison principles for second order differential operators, and apply them to prove uniqueness and comparison results for second order boundary value problems of generalized phi-Laplacian equations involving discontinuities.