Geodesic
UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 399-409

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DOI

We prove uniqueness of positive solutions for the boundary value problems\[\{\begin{array}{ll} -\Delta u=\lambda f(u)\ \ &\text{in}\Omega, \ \ \ \ \ u=0 &\text{on \partial \Omega,\]where Ω is a bounded domain in Rn with smooth boundary ∂Ω, λ is a positive parameter and f:(0,∞) → (0,∞) is sublinear at ∞ and is allowed to be singular at 0.
DOI : 10.1017/S001708951200064X
Mots-clés : 35J75, 35J92 
HAI, D. D.; SMITH, R. C. UNIQUENESS FOR SINGULAR SEMILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 399-409. doi: 10.1017/S001708951200064X
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     author = {HAI, D. D. and SMITH, R. C.},
     title = {UNIQUENESS {FOR} {SINGULAR} {SEMILINEAR} {ELLIPTIC} {BOUNDARY} {VALUE} {PROBLEMS}},
     journal = {Glasgow mathematical journal},
     pages = {399--409},
     year = {2013},
     volume = {55},
     number = {2},
     doi = {10.1017/S001708951200064X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951200064X/}
}
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