Exact boundary behavior for the solutions to a class of infinity Laplace equations

In this paper, by Karamata regular variation theory and the method of lower and upper solutions, we give an exact boundary behavior for the unique solution near the boundary to the singular Dirichlet problem $ -\Delta_{\infty} u=b(x)g(u), \ u>0, \ x \in \Omega,$ $u|_{\partial \Omega}=0$, where $...

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Bibliographic Details
Main Author: Ling Mi
Format: Article
Language:English
Published: University of Szeged 2016-05-01
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=4542