UNIQUENESS RESULTS FOR SOME BOUNDARY VALUE ELLIPTIC PROBLEMS VIA CONVEXITY
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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