Optimization problems on general classes of rearrangements

F. Cuccu; G. Porru; S. Sakaguchi

doi:10.1016/j.na.2011.05.039

Optimization problems on general classes of rearrangements

F. Cuccu, G. Porru, S. Sakaguchi

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

18 Citations (Scopus)

Abstract

This paper is concerned with maximization and minimization problems of the energy integral associated to p-Laplace equations depending on functions that belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions. The radial case is discussed in detail. We also prove a result of uniqueness for a class of p-Laplace equations under non-standard assumptions.

Original language	English
Pages (from-to)	5554-5565
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	16
DOIs	https://doi.org/10.1016/j.na.2011.05.039
Publication status	Published - 2011 Nov
Externally published	Yes

Keywords

Energy integral
Optimization problems
Rearrangements
Uniqueness
p-Laplacian

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2011.05.039

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AU - Porru, G.

AU - Sakaguchi, S.

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AB - This paper is concerned with maximization and minimization problems of the energy integral associated to p-Laplace equations depending on functions that belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions. The radial case is discussed in detail. We also prove a result of uniqueness for a class of p-Laplace equations under non-standard assumptions.

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KW - Optimization problems

KW - Rearrangements

KW - Uniqueness

KW - p-Laplacian

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ER -

Optimization problems on general classes of rearrangements

Abstract

Keywords

ASJC Scopus subject areas

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