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Radial symmetry of large solutions of semilinear elliptic equations with convection

Published online by Cambridge University Press:  30 January 2014

Ehsan Kamalinejad  and
Amir Moradifam
Ehsan Kamalinejad
Affiliation:
Department of Mathematics, UC Riverside, 900 University Avenue, Riverside, California, CA 92521, USA (kamalin@math.ucr.edu)
Amir Moradifam
Affiliation:
Department of Applied Physics and Applied Mathematics, Mudd 200 Building, MC 4701, Columbia University, 500 West 120th Street, New York, NY 10027, USA (am3937@columbia.edu)
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Abstract

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We study the radial symmetry of large solutions of the semilinear elliptic problem Δu + ∇h · ∇u = f (∣x∣, u), and we provide sharp conditions under which the problem has a radial solution. The result is independent of the rate of growth of the solution at infinity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 1 , February 2014 , pp. 139 - 147
Copyright
Copyright © Royal Society of Edinburgh 2014