Contributions To The Theory Of Almost Constant Mean Curvature Hypersurfaces

Download or read book Contributions to the Theory of Almost-constant Mean Curvature Hypersurfaces written by Daniel J. Weser and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the qualitative and quantitative properties of sets with boundaries of almost-constant mean curvature. For open subsets of Rn+1, we will prove L2- quantitative stability estimates in the presence of bubbling. In the case of droplets adhering to a substrate, we will classify their shapes in the small mass regime and prove a compactness theorem for droplets with boundaries of almost-constant mean curvature and almost-constant angle of contact with the substrate