Abstract
The q-th moment (q>0) of electrostatic equilibrium measure is shown to be minimal for a centered ball among 3-dimensional sets of given capacity, while among 2-dimensional sets a centered disk is the minimizer for 0<q≤2. Analogous results are developed for Newtonian capacity in higher dimensions and logarithmic capacity in 2 dimensions. Open problems are raised for Riesz equilibrium moments.
Original language | English (US) |
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Journal | Potential Analysis |
DOIs | |
State | Accepted/In press - 2024 |
Keywords
- 31B15
- Electrostatic
- Potential theory
- Primary 31A15
- Riesz capacity
- Secondary 35B51
ASJC Scopus subject areas
- Analysis