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",

author = "Behrouz Emamizadeh and Mohsen Zivari-Rezapour",

year = "2011",

language = "English",

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journal = "Electronic Journal of Differential Equations",

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publisher = "Texas State University - San Marcos",

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T1 - Consequences of Talenti's inequality becoming equality

AU - Emamizadeh, Behrouz

AU - Zivari-Rezapour, Mohsen

PY - 2011

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AB - 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.

KW - Elastic membrane

KW - P-Laplacian operator

KW - Rearrangement maximization

KW - References

KW - Talenti's inequality

KW - Unique optimal solution

UR - https://www.scopus.com/pages/publications/84856141909

M3 - Article

AN - SCOPUS:84856141909

SN - 1072-6691

VL - 2011

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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