REVIEW 2 cited by
The growth rate of surface area measure for noncompact convex sets with prescribed asymptotic cone
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
The Minkowski problem for a class of unbounded closed convex sets is considered. This is equivalent to a Monge-Amp\`ere equation on a bounded convex open domain with possibly non-integrable given data. A complete solution (necessary and sufficient condition for existence and uniqueness) in dimension 2 is presented. In higher dimensions, partial results are demonstrated.
Forward citations
Cited by 2 Pith papers
-
The Gaussian Minkowski-type problems for $C$-pseudo-cones
New existence and conditional uniqueness theorems for Gaussian Minkowski and log-Minkowski problems on C-pseudo-cones.
-
The Gaussian-Minkowski problem for $C$-pseudo-cones
For every finite measure on the polar directions of a pointed cone, there exists a C-pseudo-cone whose Gaussian surface area measure equals that measure, with Gaussian co-volume no more than half the cone's.
Discussion (0). Continue with ORCID to comment.