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

Abstract

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.

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Correspondence to Norio Yoshida.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jaroš, J., Takaŝi, K. & Yoshida, N. Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications. J Inequal Appl 2006, 52378 (2006). https://doi.org/10.1155/JIA/2006/52378

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  • DOI: https://doi.org/10.1155/JIA/2006/52378

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