Geodesic
Positive solutions for a class of quasilinear singular equations
Electronic journal of differential equations, Tome 2004 (2004)
This article concerns the existence and uniqueness of solutions to the quasilinear equation

$ -\Delta_p u=\rho(x) f(u) \quad \hbox{in } \mathbb{R}^N $

with $u greater than 0$ and $u(x)\to 0$ as $|x| \to \infty$. Here $1 less than p less than \infty, N \geq 3, \Delta_{p}$ is the $p$-Laplacian operator, $\rho$ and $f$ are positive functions, and $f$ is singular at 0. Our approach uses fixed point arguments, the shooting method, and a lower-upper solutions argument.
Classification : 35B40, 35J25, 35J60
Keywords: singular equations, radial positive solutions, fixed points, shooting method 
@article{EJDE_2004__2004__a76,
     author = {Goncalves,  Jose Valdo and Santos,  Carlos Alberto P.},
     title = {Positive solutions for a class of quasilinear singular equations},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1109.35309},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a76/}
}
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AU  - Santos,  Carlos Alberto P.
TI  - Positive solutions for a class of quasilinear singular equations
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VL  - 2004
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%A Santos,  Carlos Alberto P.
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%F EJDE_2004__2004__a76
Goncalves,  Jose Valdo; Santos,  Carlos Alberto P. Positive solutions for a class of quasilinear singular equations. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a76/