Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 52378, 17 pages

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Jaroslav Jaroš,1 Kusano Takaŝi,2 and Norio Yoshida3

1Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Bratislava 842 15, Slovakia
2Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-0180, Japan
3Department of Mathematics, Faculty of Science, University of Toyama, Toyama 930-8555, Japan

Received 24 February 2004; Revised 13 April 2004; Accepted 13 April 2004

Copyright © 2006 Jaroslav Jaroš et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. Oscillation results are also obtained for forced superlinear elliptic equations and superlinear-sublinear elliptic equations.