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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 10, Pages 605-613
doi:10.1155/S0161171201003544

Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness

Chie Bing Wang

Department of Mathematics, University of Pittsburgh, Pittsburgh 15260, PA, USA

Abstract

We study the equation r2d2f/dr2+f=f3 with the boundary conditions f(1)=0, f(∞)=1, and f(r)>0 for 1<r<∞. The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method.