Positive evanescent solutions of singular elliptic problems in exterior domains

We investigate the existence of positive solutions for the following class of nonlinear elliptic problems \[\operatorname{div}(a(\|x\|)\nabla u(x))+f(x,u(x))-(u(x))^{-\alpha}\|\nabla u(x)\|^{\beta}+g(\|x\|)x\cdot\nabla u(x)=0,\] where $x\in\mathbb{R}^{n}$ and $\|x\|>R,$ with the condition $\lim_{...

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Bibliographic Details
Main Author: Aleksandra Orpel
Format: Article
Language:English
Published: University of Szeged 2016-06-01
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=4331