Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T09:33:16.836Z Has data issue: false hasContentIssue false
  • English
  • Français

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 ([email protected])
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 ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)