For and , existence and uniqueness of radial solutions of the problem in and are well known. The uniqueness for the above problem with boundary conditions and is less known beside the cases where . It is our goal to give some sufficient conditions for the uniqueness of the solutions of the problem and based only on the evolution of the functions and .
Cite this article
Tadie, On Uniqueness Conditions for Decreasing Solutions of Semilinear Elliptic Equations. Z. Anal. Anwend. 18 (1999), no. 3, pp. 517–523DOI 10.4171/ZAA/895