Electron. J. Differential Equations, Vol. 2016 (2016), No. 302, pp. 1-8.

A Fujita-type theorem for a multitime evolutionary p-Laplace inequality in the Heisenberg group

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Abstract:
A nonexistence result of global nontrivial positive weak solutions to a multitime evolutionary p-Laplace differential inequality in the Heisenberg group is obtained. Our technique of proof is based on the test function method.

Submitted June 12, 2016. Published November 25, 2016.
Math Subject Classifications: 47J35, 35R03.
Key Words: Nonexistence; global solution; multitime; differential inequality; Heisenberg group.

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Mohamed Jleli
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Mokhtar Kirane
LaSIE, Faculté des Sciences et Technologies
Université de La Rochelle
Avenue M. Crépeau, 17042 La Rochelle, France
email: mokhtar.kirane@univ-lr.fr
Bessem Samet
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

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