Chou and Wang’s existence result for the L_p-Minkowski problem on S^{n−1} for p ∈ (−n, 1) and an absolutely continuous measure μ is discussed and extended to more general measures. In particular, we provide an almost optimal sufficient condition for the case p∈(0,1).
THE L_p MINKOWSKI PROBLEM FOR −n < p < 1 / Bianchi, Gabriele; Boroczky, Karoly J.; Colesanti, Andrea; Yang, Deane. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 341:(2019), pp. 493-535. [10.1016/j.aim.2018.10.032]
THE L_p MINKOWSKI PROBLEM FOR −n < p < 1
BIANCHI, GABRIELE;COLESANTI, ANDREA;
2019
Abstract
Chou and Wang’s existence result for the L_p-Minkowski problem on S^{n−1} for p ∈ (−n, 1) and an absolutely continuous measure μ is discussed and extended to more general measures. In particular, we provide an almost optimal sufficient condition for the case p∈(0,1).
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