Generalized Lyapunov inequalities involving critical Sobolev exponents

H. J. Kwon; S. A. Timoshin

doi:10.1134/S0037446612040118

Generalized Lyapunov inequalities involving critical Sobolev exponents

Research output: Contribution to journal › Article › peer-review

Abstract

We consider Lyapunov-type inequalities generalizing the famous inequality that gives a necessary condition for the existence of solutions to a boundary value problem for a second order ordinary differential equation. For certain critical cases, when the inequalities are strict, we study the asymptotic behavior of minimizing sequences.

Original language	English
Pages (from-to)	691-701
Number of pages	11
Journal	Siberian Mathematical Journal
Volume	53
Issue number	4
DOIs	https://doi.org/10.1134/S0037446612040118
Publication status	Published - Jul 2012
Externally published	Yes

Keywords

critical exponent
elliptic equations
Lyapunov inequality

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title = "Generalized Lyapunov inequalities involving critical Sobolev exponents",

abstract = "We consider Lyapunov-type inequalities generalizing the famous inequality that gives a necessary condition for the existence of solutions to a boundary value problem for a second order ordinary differential equation. For certain critical cases, when the inequalities are strict, we study the asymptotic behavior of minimizing sequences.",

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author = "Kwon, {H. J.} and Timoshin, {S. A.}",

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AU - Timoshin, S. A.

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AB - We consider Lyapunov-type inequalities generalizing the famous inequality that gives a necessary condition for the existence of solutions to a boundary value problem for a second order ordinary differential equation. For certain critical cases, when the inequalities are strict, we study the asymptotic behavior of minimizing sequences.

KW - critical exponent

KW - elliptic equations

KW - Lyapunov inequality

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U2 - 10.1134/S0037446612040118

DO - 10.1134/S0037446612040118

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JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

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Generalized Lyapunov inequalities involving critical Sobolev exponents

Abstract

Keywords

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