Hostname: page-component-7b9c58cd5d-v2ckm Total loading time: 0 Render date: 2025-03-15T14:59:27.777Z Has data issue: false hasContentIssue false

Radial symmetry of large solutions of semilinear elliptic equations with convection

Published online by Cambridge University Press:  30 January 2014

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)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Copyright
Copyright © Royal Society of Edinburgh 2014