Electron. J. Diff. Equ., Vol. 2014 (2014), No. 209, pp. 1-9.

Nonexistence of global solutions for differential inequalities of Sobolev type

Mohamed Jleli, Bessem Samet

Abstract:
In this article we study three differential inequalities of Sobolev type. Using Pokhozhaev's nonlinear capacity method, we provide sufficient conditions for the nonexistence of global nontrivial weak solutions to these problems.

Submitted August 3, 2013. Published October 10, 2014.
Math Subject Classifications: 35B33, 47J35.
Key Words: Differential inequality of Sobolev type; nonlinear capacity method; global solution; nonexistence.

Show me the PDF file (196 KB), TEX file, and other files for this article.

Mohamed Jleli
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: jleli@ksu.edu.sa
Bessem Samet
Department of Mathematics
College of Science, King Saud University
P.O. Box 2455, Riyadh 11451, Saudi Arabia
email: bsamet@ksu.edu.sa

Return to the EJDE web page