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

Journal of Inequalities and Applications volume 2006, Article number: 52378 (2006) Cite this article

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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Authors and Affiliations

  1. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Bratislava, 842 15, Slovakia

    Jaroslav Jaroš

  2. Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka, 814-0180, Japan

    Kusano Takaŝi

  3. Department of Mathematics, Faculty of Science, University of Toyama, Toyama, 930-8555, Japan

    Norio Yoshida

Authors
  1. Jaroslav Jaroš
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  2. Kusano Takaŝi
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  3. Norio Yoshida
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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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