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Regularization of radial solutions of p-Laplace equations, and computations using infinite series
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| Organization: | University of Cincinnati |
| Department: | Department of Mathematical Sciences |
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| Electronic Journal of Qualitative Theory of Differential Equations |
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We consider radial solutions of equations with the p-Laplace operator in Rn. We introduce a change of variables, which in effect removes the singularity at r = 0. While solutions are not of class C2, in general, we show that solutions are C2 functions of r p 2(p1) . Then we express the solution as an infinite series in powers of r p p1 , and give explicit formulas for its coefficients. We implement this algoritheorem, using Mathematica. Mathematica’s ability to perform the exact computations turns out to be crucial.
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