Nasreddine Megrez, K. Sreenadh, Brahim Khaldi
In this article, we consider the problem
where is a bounded domain in , , and . We show that there exists a real number such that the above problem admits at least two solutions for , and no solution for .
Submitted June 16, 2011. Published December 26, 2012.
Math Subject Classifications: 35J50, 35J57, 35J60.
Key Words: Gradient system; exponential nonlinearity; multiplicity.
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| Nasreddine Megrez |
Chemical and Material Engineering Department
University of Alberta
9107 - 116 Street, Edmonton (Alberta) T6G 2V4, Canada
| K. Sreenadh |
Department of Mathematics
Indian Institute of Technology Delhi Hauz Khaz
New Delhi-16, India
| Brahim Khaldi |
Departement of Sciences, University of Bechar
PB 117, Bechar 08000, Algeria
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