On singular nonpositone semilinear elliptic problems
Keywords
Positive solutions, singular BVP, nonpositoneAbstract
We prove the existence of a large positive solution for the boundary value problems $$ \alignat 2 -\Delta u &=\lambda (-h(u)+g(x,u))&\quad& \text{in }\Omega , \\ u &=0 &\quad &\text{on }\partial \Omega , \endalignat $$ where $\Omega $ is a bounded domain in ${\mathbb R}^{N}$, $\lambda $ is a positive parameter, $g(x,\cdot)$ is sublinear at $\infty$, and $h$ is allowed to become $\infty $ at $u=0$. Uniqueness is also considered.Downloads
Published
2008-09-01
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1.
HAI, Dinh Dang. On singular nonpositone semilinear elliptic problems. Topological Methods in Nonlinear Analysis. Online. 1 September 2008. Vol. 32, no. 1, pp. 41 - 47. [Accessed 19 April 2024].
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