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October 2010 Lyapunov inequality for elliptic equations involving limiting nonlinearities
Sergey A. Timoshin
Proc. Japan Acad. Ser. A Math. Sci. 86(8): 139-142 (October 2010). DOI: 10.3792/pjaa.86.139

Abstract

This note deals with a generalization of the famous Lyapunov inequality giving a necessary condition for the existence of solutions to a boundary value problem for an ordinary differential equation. The problem we consider is closely related to a well-known problem on an asymptotic behavior of positive solutions of a class of semilinear elliptic equations of nearly critical Sobolev growth.

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Sergey A. Timoshin. "Lyapunov inequality for elliptic equations involving limiting nonlinearities." Proc. Japan Acad. Ser. A Math. Sci. 86 (8) 139 - 142, October 2010. https://doi.org/10.3792/pjaa.86.139

Information

Published: October 2010
First available in Project Euclid: 4 October 2010

zbMATH: 1205.35070
MathSciNet: MR2721859
Digital Object Identifier: 10.3792/pjaa.86.139

Subjects:
Primary: 35J25
Secondary: 35B33

Keywords: Critical exponents , elliptic equations , Lyapunov inequality

Rights: Copyright © 2010 The Japan Academy

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Vol.86 • No. 8 • October 2010
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