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

Journal of Inequalities and Applications20062006:52378

Received: 24 February 2004

Accepted: 13 April 2004

Published: 3 January 2006


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.


Elliptic EquationComparison TheoremNonlinear Elliptic EquationLinear Elliptic EquationOscillation Result


Authors’ Affiliations

Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Bratislava, Slovakia
Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, Japan
Department of Mathematics, Faculty of Science, University of Toyama, Toyama, Japan


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© Hindawi Publishing Corporation. 2006

This article is published under license to BioMed Central Ltd. 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.