Rearrangement optimization for some elliptic equations

B. Emamizadeh; M. Zivari-Rezapour

doi:10.1007/s10957-007-9269-y

Rearrangement optimization for some elliptic equations

B. Emamizadeh, M. Zivari-Rezapour

Research output: Journal Publication › Article › peer-review

10 Citations (Scopus)

Abstract

We investigate an optimization problem related to an elliptic (linear and nonlinear) boundary-value problem. The competing objects are elements of a rearrangement class generated by a fixed positive function. The popular case where the generator is a characteristic function is also considered. In this case, the method of the domain derivative is used to obtain a free boundary result.

Original language	English
Pages (from-to)	367-379
Number of pages	13
Journal	Journal of Optimization Theory and Applications
Volume	135
Issue number	3
DOIs	https://doi.org/10.1007/s10957-007-9269-y
Publication status	Published - Dec 2007
Externally published	Yes

Keywords

Domain derivative
Existence
Free boundary
Inequalities
Optimization
Rearrangements
Uniqueness

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

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10.1007/s10957-007-9269-y

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title = "Rearrangement optimization for some elliptic equations",

abstract = "We investigate an optimization problem related to an elliptic (linear and nonlinear) boundary-value problem. The competing objects are elements of a rearrangement class generated by a fixed positive function. The popular case where the generator is a characteristic function is also considered. In this case, the method of the domain derivative is used to obtain a free boundary result.",

keywords = "Domain derivative, Existence, Free boundary, Inequalities, Optimization, Rearrangements, Uniqueness",

author = "B. Emamizadeh and M. Zivari-Rezapour",

note = "Funding Information: This research was initiated when the first author was visiting the Iran University of Science and Technology in Summer of 2005. Behrouz Emamizadeh acknowledges the partial financial support from the Petroleum Institute.",

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doi = "10.1007/s10957-007-9269-y",

language = "English",

volume = "135",

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journal = "Journal of Optimization Theory and Applications",

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T1 - Rearrangement optimization for some elliptic equations

AU - Emamizadeh, B.

AU - Zivari-Rezapour, M.

N1 - Funding Information: This research was initiated when the first author was visiting the Iran University of Science and Technology in Summer of 2005. Behrouz Emamizadeh acknowledges the partial financial support from the Petroleum Institute.

PY - 2007/12

Y1 - 2007/12

N2 - We investigate an optimization problem related to an elliptic (linear and nonlinear) boundary-value problem. The competing objects are elements of a rearrangement class generated by a fixed positive function. The popular case where the generator is a characteristic function is also considered. In this case, the method of the domain derivative is used to obtain a free boundary result.

AB - We investigate an optimization problem related to an elliptic (linear and nonlinear) boundary-value problem. The competing objects are elements of a rearrangement class generated by a fixed positive function. The popular case where the generator is a characteristic function is also considered. In this case, the method of the domain derivative is used to obtain a free boundary result.

KW - Domain derivative

KW - Existence

KW - Free boundary

KW - Inequalities

KW - Optimization

KW - Rearrangements

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/36148968097

U2 - 10.1007/s10957-007-9269-y

DO - 10.1007/s10957-007-9269-y

M3 - Article

AN - SCOPUS:36148968097

SN - 0022-3239

VL - 135

SP - 367

EP - 379

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Rearrangement optimization for some elliptic equations

Abstract

Keywords

ASJC Scopus subject areas

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