Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold

Miltiadis Paschalis
2023 Proceedings of the Royal Society of Edinburgh. Section A Mathematics  
We investigate the continuity and differentiability of the Hardy constant with respect to perturbations of the domain in the case where the problem involves the distance from a boundary submanifold. We also investigate the case where only the submanifold is deformed.
doi:10.1017/prm.2023.15 fatcat:ffbhgqsiq5dphhldp22i6a3mga