Regularization of radial solutions of $p$-Laplace equations, and computations using infinite series

We consider radial solutions of equations with the $p$-Laplace operator in $R^n$. We introduce a change of variables, which in effect removes the singularity at $r=0$. While solutions are not of class $C^2$, in general, we show that solutions are $C^2$ functions of $ r^{\frac{p}{2(p-1)}}$. Then we e...

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Bibliographic Details
Main Author: Philip Korman
Format: Article
Language:English
Published: University of Szeged 2015-07-01
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=4074