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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Format: | Article |
Language: | English |
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University of Szeged
2016-05-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4542 |