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

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.

Show me the PDF file (206 KB), TEX file for this article.

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

Return to the EJDE web page