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Forced oscillation criteria for superlinear–sublinear elliptic equations via Picone-type inequality

Name: Forced oscillation criteria for superlinear–sublinear elliptic equations via Picone-type inequality
Creator: Norio Yoshida
Keywords: Picone-type inequality, Applied Mathematics, Forced oscillation, Elliptic equations, 0101 mathematics, 01 natural sciences, Superlinear–sublinear, Analysis

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2010Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 363, pages 711-717 (issn: 0022-247X,

Authors: Norio Yoshida;

doi: 10.1016/j.jmaa.2009.10.008

Forced oscillation criteria for superlinear–sublinear elliptic equations via Picone-type inequality

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Abstract

AbstractPicone-type inequality is derived for a class of superlinear–sublinear elliptic equations with a forcing term, and oscillation results are established by utilizing the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for half-linear ordinary differential equations.

Related Organizations

University of Toyama
Japan

Keywords

Picone-type inequality, Applied Mathematics, Forced oscillation, Elliptic equations, Superlinear–sublinear, Analysis

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