Paper Title:

Existence and Regularity of Minima of an Integral Functional in Unbounded Domain

Author(s):

L. Aharouch, J. Bennouna and A. Bouajaja

King Khalid University
Faculty of Arts and Science Mha'l Asir
Saudi Arabia.

E-mail: laharouch@gmail.com

Université Sidi Mohammed Ben Abdellah
Faculté des Sciences Dhar-Mahraz
B.P 1796 Atlas Fès,
Maroc.

Email: jbennouna@hotmail.com

E-mail: kadabouajaja@hotmail.com

Abstract:

We prove the existence and the regularity of minima for a functional defined on a suitable Sobolev space.

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