Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity
Analysis of PDEs
2025-10-23 v3 Optimization and Control
Abstract
The second domain variation of the -capacity and the - torsional rigidity for compact sets in with is computed. Conditions on and are given such that the ball is a local minimzer or maximizer of the product.
Keywords
Cite
@article{arxiv.2505.20307,
title = {Second domain variation for the $p$ - capacity and the $q$ - torsional rigidity},
author = {Alfred Wagner},
journal= {arXiv preprint arXiv:2505.20307},
year = {2025}
}