Asymptotic behavior of positive solutions for the radial p-Laplacian equation
| Autor: | Sonia Ben Othman, Habib Maagli |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2012, Iss 240,, Pp 1-10 (2012) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | We study the existence, uniqueness and asymptotic behavior of positive solutions to the nonlinear problem $$displaylines{ frac{1}{A}(APhi _p(u'))'+q(x)u^{alpha}=0,quad hbox{in }(0,1),cr lim_{xo 0}APhi _p(u')(x)=0,quad u(1)=0, }$$ where $alpha 0, $$ frac{1}{c}leq q(x)(1-x)^{eta }exp Big( -int_{1-x}^{eta }frac{z(s)}{s}dsBig)leq c. $$ Our arguments combine monotonicity methods with Karamata regular variation theory. |
| Databáze: | Directory of Open Access Journals |
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