asymptotic analysis 1capacity conjecture 1neumann boundary conditions 1potential theory 1riesz energy 1strip potentials 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CA2026
Riesz energy deformation through insulated strips
Carrie Clark, Richard S. Laugesen
The paper shows that Riesz energies with exponents differing by one appear as limiting cases of a family of infinite‑strip energies with Neumann boundary conditions, and uses this…
math.CA2024
Maximizing Riesz capacity ratios: conjectures and theorems
Carrie Clark, Richard S. Laugesen
A shape optimization program is developed for the ratio of Riesz capacities , where ranges over compact sets in . In different re…
math.CA2024
Riesz capacity: monotonicity, continuity, diameter and volume
Carrie Clark, Richard S. Laugesen
Properties of Riesz capacity are developed with respect to the kernel exponent , namely that capacity is monotonic as a function of , that its endpoint limits…