Electron. J. Differential Equations, Vol. 2018 (2018), No. 104, pp. 1-12.

Placement of a source or a well for optimizing the energy integral

Kebede Feyissa, Abdi Tadesse, Giovanni Porru

Abstract:
This article concerns the maximization and minimization of the energy integral associated with solutions to partial differential equations with coefficients depending on a suitable source or well. Under suitable geometrical conditions on the domain we find the optimal configurations.

Submitted December 4, 2017. Published May 7, 2018.
Math Subject Classifications: 35J25, 49K20, 49K30.
Key Words: Energy integral; maximization; minimization.

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Kebede Feyissa
Adama Science and Technology University
Department of Applied Mathematics
Adama, Ethiopia
email: feyissake11@gmail.com
Abdi Tadesse
Department of Mathematics
College of Natural and Computational Sciences
Addis Ababa University, Addis Ababa, Ethiopia
email: tadesse.abdi@aau.edu.et
Giovanni Porru
Department of Mathematics and Informatics
University of Cagliari
Cagliari, Italy
email: porru@unica.it

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