On an asymptotically linear singular boundary value problems
Keywords
Singular, elliptic BVP, asymptotically linearAbstract
We prove the existence of positive solutions for the singular boundary value problems $$ \cases \displaystyle -\Delta u=\frac{p(x)}{u^{\beta }}+\lambda f(u) & \text{in }\Omega , \\ u=0 &\text{on }\partial \Omega , \endcases $$ where $\Omega $ is a bounded domain in $\mathbb{R}^n$ with smooth boundary $\partial \Omega , 0< \beta < 1$, $\lambda > 0$ is a small parameter, $f\colon (0,\infty )\rightarrow \mathbb{R}$ is asymptotically linear at $\infty$ and is possibly singular at $0$.Downloads
Published
2012-04-23
How to Cite
1.
HAI, Dinh Dang. On an asymptotically linear singular boundary value problems. Topological Methods in Nonlinear Analysis. Online. 23 April 2012. Vol. 39, no. 1, pp. 83 - 92. [Accessed 26 April 2024].
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