For the Finsler p-Laplacian torsion problem, a nonzero finite measure is an anisotropic p-torsional measure of a convex body iff its centroid is the origin and it is not concentrated on a closed hemisphere; the log version holds under a subspace mass inequality.
The discrete logarithmic Minkowski problem for the electrostatic $\mathfrak{p}$-capacity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The Minkowski problem for electrostatic capacity characterizes measures generated by electrostatic capacity, which is a well-known variant of the Minkowski problem. This problem has been generalized to $L_p$ Minkowski problem for $\mathfrak{p}$-capacity. In particular, the logarithmic case $p=0$ relates to cone-volumes and therefore has a geometric significance. In this paper we solve the discrete logarithmic Minkowski problem for $1<\mathfrak{p}<n$ in the case where the support of the given measure is in general position.
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Minkowski problem of anisotropic p-torsional rigidity
For the Finsler p-Laplacian torsion problem, a nonzero finite measure is an anisotropic p-torsional measure of a convex body iff its centroid is the origin and it is not concentrated on a closed hemisphere; the log version holds under a subspace mass inequality.