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arXiv · 1707.01687

Tensor products and sums of p-harmonic functions, quasiminimizers and p-admissible weights

Anders Björn·Jana Björn
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Abstract

The tensor product of two p-harmonic functions is in general not p-harmonic, but we show that it is a quasiminimizer. More generally, we show that the tensor product of two quasiminimizers is a quasiminimizer. Similar results are also obtained for quasisuperminimizers and for tensor sums. This is done in weighted R^n with p-admissible weights. It is also shown that the tensor product of two p-admissible measures is p-admissible. This last result is generalized to metric spaces.

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Anders Björn, Jana Björn. 2017-07-06. Tensor products and sums of p-harmonic functions, quasiminimizers and p-admissible weights. https://doi.org/10.1090/proc%2F14170

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