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UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS II
Published online by Cambridge University Press: 21 July 2015
Abstract
We prove uniqueness of positive solutions for the boundary value problem
\begin{equation*}
\left\{
\begin{array}{l}
-\Delta u=\lambda f(u)\text{ in }\Omega , \\
\ \ \ \ \ \ \ u=0\text{ on }\partial \Omega ,
\end{array}
\right.
\end{equation*}
$\mathbb{R}$n with smooth boundary ∂ Ω, λ is a large positive parameter, f:(0,∞) → [0,∞) is nonincreasing for large t and is allowed to be singular at 0.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2015
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