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Radial symmetry of large solutions of semilinear elliptic equations with convection
Published online by Cambridge University Press: 30 January 2014
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