Abstract

Existence of solutions to the Lp Minkowski problem of electrostatic q-capacity for discrete measures was very recently given by G. Xiong, J. Xiong and L. Xu (JFA, 2019) when 0<p<1 and 1<q<2. In this paper, an existence result of solutions to this problem for general measures is proved when 0<p<1 and 1<q<n, which is a supplement to the previous result.

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