Positive solutions for a class of quasilinear singular equations
| Autor: | Jose Valdo Goncalves, Carlos Alberto P. Santos |
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| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2004, Iss 56, Pp 1-15 (2004) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | This article concerns the existence and uniqueness of solutions to the quasilinear equation $$ -Delta_p u= ho(x) f(u) quad hbox{in } mathbb{R}^N $$ with $u > 0$ and $u(x)o 0$ as $|x| o infty$. Here $1 < p < infty$, $N geq 3$, $Delta_{p}$ is the $p$-Laplacian operator, $ ho$ 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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