Hessian determinants as elements of dual Sobolev spaces
Teresa Radice
Studia Mathematica, Tome 223 (2014), p. 183-190 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285542 
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     title = {Hessian determinants as elements of dual Sobolev spaces},
     journal = {Studia Mathematica},
     volume = {223},
     year = {2014},
     pages = {183-190},
     zbl = {1326.46030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-6}
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Teresa Radice. Hessian determinants as elements of dual Sobolev spaces. Studia Mathematica, Tome 223 (2014) pp. 183-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm224-2-6/