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.
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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 |
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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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