A Remark on the Kelvin Transform for a Quasilinear Equation

Peter Lindqvist

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arXiv · 1606.02563

A Remark on the Kelvin Transform for a Quasilinear Equation

Peter Lindqvist

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Abstract

The p-harmonic functions are preserved under reflections in spheres only if the exponent p > 1 is equal to the dimension of the underlying Euclidean space. In the linear case p = 2 the Kelvin transform corrects this lack of invariance. We shall show that the Kelvin transform has no reasonable counterpart for general values of the exponent p.

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Peter Lindqvist. 2016-06-08. A Remark on the Kelvin Transform for a Quasilinear Equation. https://arxiv.org/abs/1606.02563

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