Hessian determinants as elements of dual Sobolev spaces
Volume 224 / 2014
Studia Mathematica 224 (2014), 183-190
MSC: Primary 42B37; Secondary 46E35, 42B30.
DOI: 10.4064/sm224-2-6
Abstract
In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.
