Consequences of Talenti's inequality becoming equality

Behrouz Emamizadeh; Mohsen Zivari-Rezapour

Consequences of Talenti's inequality becoming equality

Behrouz Emamizadeh, Mohsen Zivari-Rezapour

Research output: Journal Publication › Article › peer-review

Abstract

In this article, we consider the case of equality in a well known inequality for the p-Laplacian due to Giorgio Talenti. Our approach seems to be simpler than the one by Kesavan [6]. We use a result from rearrangement optimization to prove the main result in this article. Some physical interpretations are also presented.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2011
Publication status	Published - 2011
Externally published	Yes

Keywords

Elastic membrane
P-Laplacian operator
Rearrangement maximization
References
Talenti's inequality
Unique optimal solution

ASJC Scopus subject areas

Analysis

Cite this

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title = "Consequences of Talenti's inequality becoming equality",

abstract = "In this article, we consider the case of equality in a well known inequality for the p-Laplacian due to Giorgio Talenti. Our approach seems to be simpler than the one by Kesavan [6]. We use a result from rearrangement optimization to prove the main result in this article. Some physical interpretations are also presented.",

keywords = "Elastic membrane, P-Laplacian operator, Rearrangement maximization, References, Talenti's inequality, Unique optimal solution",

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KW - P-Laplacian operator

KW - Rearrangement maximization

KW - References

KW - Talenti's inequality

KW - Unique optimal solution

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SN - 1072-6691

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Consequences of Talenti's inequality becoming equality

Abstract

Keywords

ASJC Scopus subject areas

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