Geodesic
UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS II
Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 461-469

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DOI

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*}where Ω is a bounded domain in $\mathbb{R}$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. 
HAI, D. D.; SMITH, R. C. UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS II. Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 461-469. doi: 10.1017/S0017089515000270
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     author = {HAI, D. D. and SMITH, R. C.},
     title = {UNIQUENESS {FOR} {SINGULAR} {SEMILINEAR} {ELLIPTIC} {BOUNDARY} {VALUE} {PROBLEMS} {II}},
     journal = {Glasgow mathematical journal},
     pages = {461--469},
     year = {2016},
     volume = {58},
     number = {2},
     doi = {10.1017/S0017089515000270},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000270/}
}
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