Rearrangement Optimization for Some Elliptic Equations

B. Emamizadeh () and M. Zivari-Rezapour
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B. Emamizadeh: Petroleum Institute
M. Zivari-Rezapour: Iran University of Science and Technology

Journal of Optimization Theory and Applications, 2007, vol. 135, issue 3, No 5, 367-379

Abstract: 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: Optimization; Rearrangements; Inequalities; Existence; Uniqueness; Free boundary; Domain derivative (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-007-9269-y

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