On uniqueness of positive solutions for a class of semilinear equations

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November 2002, 8(4): 865-871. doi: 10.3934/dcds.2002.8.865

On uniqueness of positive solutions for a class of semilinear equations

1.	Department Of Mathematical Sciences, University Of Cincinnati, Cincinnati Ohio 45221-0025, United States

Received July 2001 Revised March 2002 Published July 2002

Abstract
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Using the technique of Adimurthy, F. Pacella and S.L. Yadava [1], we extend an uniqueness result for a class of non-autonomous semilinear equations in M.K. Kwong and Y. Li [8]. We also observe that combining the results of [1] with bifurcation theory, one can obtain a detailed picture of the global solution curve for a class of concave-convex nonlinearities.

Keywords: Uniqueness of solutions, the global solution curve..

Mathematics Subject Classification: 35J60, 34B1.

Citation: Philip Korman. On uniqueness of positive solutions for a class of semilinear equations. Discrete & Continuous Dynamical Systems - A, 2002, 8 (4) : 865-871. doi: 10.3934/dcds.2002.8.865

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