A Remark on the Kelvin Transform for a Quasilinear Equation
arXiv:1606.02563
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.
This is essentially ISBN 851-754-933-4, which appeared in 1989, Research Reports A267 (1989), Helsinki University of Technology, Institute of Mathematics