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Publication 19-CNA-009

Second order structured deformations in the space of functions of bounded Hessian

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Adrian Hagerty
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA
ahagerty@andrew.cmu.edu

Roberto Paroni
Dipartimento di Ingegneria Civile e Industriale
Università di Pisa
56122 Pisa, Italy

Abstract: This work addresses second order structured deformations in the framework of the space of special functions of bounded Hessian, BH. An integral representation result is obtained in BH in the vein of the global method for relaxation of Bouchitté, Fonseca, and Mascarenhas [4], and is applied to a relaxation problem in the context of structured deformations.

Get the paper in its entirety as  19-CNA-009.pdf


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