Regularity of intrinsically convex $H^2$ surfaces and the derivation of homogenized bending shell models
Péter Hornung, Igor Velčić · arXiv (Cornell University) · 2015
We prove smoothness of $H^2$ isometric immersions of surfaces endowed with a smooth Riemannian metric of positive Gauss curvature. We use this regularity result to rigorously derive homogenized bending models of convex shells from three-dimensional nonlinear elasticity.