Optimization Problems in Classes of Rearrangements
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Date
2019-05-23
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Addis Ababa University
Abstract
This work is concerned with maximization and minimization problems of functionals associated
with solutions of elliptic di erential equations depending on functions which belong to classes
of rearrangements. We prove existence and uniqueness results, and present some features of
optimal solutions.
We also discuss maximization and minimization of the energy integral associated with solutions
to partial di erential equations with coe cients depending on a suitable source or well. Under
suitable geometrical conditions on the domain
we nd the optimal con gurations.
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Keywords
Optimization, Problems in Classes, Rearrangements