2011•International Journal of Differential Equations and ApplicationsRequires access

UNIQUENESS RESULTS FOR SOME BOUNDARY VALUE ELLIPTIC PROBLEMS VIA CONVEXITY

Tadie Tadie

Abstract

Some conditions for the uniqueness of the solutions of the problems $(E)$ and $(E_n)$ displayed below are provided. They are solely based on the behavior of the function $f$ and the shape of the domain $\Omega$. The proceedure is inspired by some earlier results concerning radial solutions for some similar problems ([3] and [4]) and some convexity result in [2].

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Key concepts: Uniqueness, Convexity, Mathematics, Domain (mathematical analysis), Boundary value problem, Omega, Mathematical analysis, Function (biology)