The Hadamard variational formula and the Minkowski problem for p-Capacity
2015 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 285, 1511-1585 p.Article in journal (Refereed) Published
A Hadamard variational formula for p-capacity of convex bodies in R-n is established when 1 < p < n. The formula is applied to solve the Minkowski problem for p-capacity which involves a degenerate Monge Ampere type equation. zkiniqueness for the Minkowski problem for p-capacity is established when 1 < p < n and existence and regularity when 1 < p < 2. These results are (non-linear) extensions of the now classical solution of Jerison of the Minkowski problem for electrostatic capacity (p = 2).
Place, publisher, year, edition, pages
2015. Vol. 285, 1511-1585 p.
IdentifiersURN: urn:nbn:se:uu:diva-214109DOI: 10.1016/j.aim.2015.06.022ISI: 000376417800041OAI: oai:DiVA.org:uu-214109DiVA: diva2:684080