On the Minkowski problem for p-harmonic measures
Abstract We study the Minkowski problem corresponding to the p -harmonic measures and obtain results previously known for harmonic measures due to Jerison (Invent Math 105(2):375–400, 1991). We show that a class of Borel measures on spheres can be prescribed by p -harmonic measures on convex domains.
Authors
- Shirsho Mukherjee (ORCID: https://orcid.org/0000-0002-3946-2523)
- Murat Akman (ORCID: https://orcid.org/0000-0002-1369-1416)
Institutions
- University of Essex (GB)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1007/s00526-024-02865-8
- Citations
- 1
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.36
Funders
- Engineering and Physical Sciences Research Council