Abstract
The main purpose of this article is to establish the existence result concerning to the problem $-\Delta u(x)+c(x)u(x)=a(x)f(u(x))$, $x\in \mathbb{R}^{N}$, $N>2$, $u(x)\rightarrow 0$ as $\left\vert x\right\vert \rightarrow \infty$. Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.
Citation
Dragos-Patru Covei. "A Lane-Emden-Fowler type problem with singular nonlinearity." J. Math. Kyoto Univ. 49 (2) 325 - 338, 2009. https://doi.org/10.1215/kjm/1256219159
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