Asymptotic behavior and uniqueness of entire large solutions to a quasilinear elliptic equation

In this paper, combining the upper and lower solution method with perturbation theory, we study the asymptotic behavior of entire large solutions to Eq. $\Delta_{p}u=b(x)f(u),\,u(x)>0,\,x\in\mathbb{R},$ where $b\in C^{\alpha}_{\rm loc}(\mathbb{R}^{N})$ $(\alpha\in(0, 1))$ is positive in $\mathbb{...

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Bibliographic Details
Main Author: Haitao Wan
Format: Article
Language:English
Published: University of Szeged 2017-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5531