Janos Englander, Peter L. Simon
In this article, we consider a semilinear elliptic equations of the form , where is a concave function. We prove for arbitrary dimensions that there is no solution bounded in . The significance of this result in probability theory is also discussed.
Submitted September 19, 2005. Published January 24, 2006.
Math Subject Classifications: 35J60, 35J65, 60J80.
Key Words: KPP-equation; semilinear elliptic equations; positive bounded solutions; branching Brownian-motion.
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| János Engländer |
Department of Statistics and Applied Probability
University of California
Santa Barbara, CA 93106-3110, USA
| Péter L. Simon |
Department of Applied Analysis, Eötvös Loránd University
Pázmány Péter Sétány 1/C, H-1117 Budapest, Hungary
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