Charlotte Dietze

collaborators

3 papers

math.AP2025

Minimizing sequences of Sobolev inequalities revisited

Charlotte Dietze, Phan ThÃ nh Nam

We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-co…

math.CA2024

Hardy-Sobolev interpolation inequalities

Charlotte Dietze, Phan ThÃ nh Nam

We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in t…

math.SP2024

Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters

Charlotte Dietze, Konstantin Pankrashkin

Let $I^c ◯ \subset R^{n}$ with $n \geq 2$ be a bounded Lipschitz domain with outer unit normal $I^½$ . For $I^\pm \in R$ let $R_{I^} c ◯^{I^} \pm$ be the Laplacian in $I^c ◯$ with the Robin bou…