MR
D. D. HAI and R. C. SMITH
D. D. HAI and R. C. SMITH
Uniqueness for a Class of Singular Semilinear Elliptic Systems
Funkcialaj Ekvacioj. Serio Internacia
59
2016
35--49
http://fe.math.kobe-u.ac.jp/FE/FullPapers/59-1/59_35.pdf
http://www.ams.org/mathscinet-getitem?mr=MR
We prove the existence, uniqueness and asymptotic behavior of solutions to the elliptic system $-\Delta u=a(x)f(u,v)$ in $\Omega$, $-\Delta v=b(x)g(u,v)$ in $\Omega$, $u=v=0$ on $\partial\Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^N$ with smooth boundary $\partial\Omega$, $a$, $b:\Omega\rightarrow(0,\infty)$, and $f$, $g:(0,\infty)\times(0,\infty)\rightarrow(0,\infty)$ are allowed to be singular at $0$ and non-monotone.
Elliptic systems, Uniqueness, Singular, Positive solutions.
35J57, 35J75.
59-35
2016
Uniqueness for a Class of Singular Semilinear Elliptic Systems
D. D. HAI and R. C. SMITH
D. D. HAI and R. C. SMITH
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