Hypersurfaces with mean curvature given by an ambient Sobolev function.
From MaRDI portal
Publication:1609831
DOI10.4310/jdg/1090348353zbMath1055.49032OpenAlexW1576901460WikidataQ115202560 ScholiaQ115202560MaRDI QIDQ1609831
Publication date: 15 August 2002
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1090348353
Variational problems in a geometric measure-theoretic setting (49Q20) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)
Related Items
Unnamed Item, Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds, Hypersurfaces with mean curvature prescribed by an ambient function: compactness results, The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions, Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow, Second order rectifiability of integral varifolds of locally bounded first variation, Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces, Existence of weak solutions for a sharp interface model for phase separation on biological membranes, Convergence of phase-field approximations to the Gibbs-Thomson law, A Sobolev Poincaré type inequality for integral varifolds, Decay estimates for the quadratic tilt-excess of integral varifolds, Unnamed Item, Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids