A Lane-Emden-Fowler type problem with singular nonlinearity

Covei, Dragos-Patru

J. Math. Kyoto Univ., Tome 49 (2009) no. 1, p. 325-338 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-05-15
Classification:

@article{1256219159,
     author = {Covei, Dragos-Patru},
     title = {A Lane-Emden-Fowler type problem with singular nonlinearity},
     journal = {J. Math. Kyoto Univ.},
     volume = {49},
     number = {1},
     year = {2009},
     pages = { 325-338},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256219159}
}

Covei, Dragos-Patru. A Lane-Emden-Fowler type problem with singular nonlinearity. J. Math. Kyoto Univ., Tome 49 (2009) no. 1, pp.  325-338. http://gdmltest.u-ga.fr/item/1256219159/