A note on the smoothness of energy-minimizing incompressible deformations

Simple item page
dc.creatorChaudhuri, Nirmalendu
dc.date2005-10-16
dc.date.accessioned2026-07-07T06:47:31Z
dc.date.available2026-07-07T06:47:31Z
dc.descriptionIn this note we prove that any $W^{1,2}$ mapping $u$ in the plane that minimizes an appropriate quasiconvex energy functional subject to the Jacobian constraint ${\rm det} \na u=1$ a.e., are necessarily Lipschitz. Furthermore we show that the minimizers corresponding to uniformly convex energy are affine and give an example of non-affine minimizers subject to affine boundary data corresponding to a convex energy. We also discuss the regularity issues in dimension greater than or equal to 3.
dc.identifierhttps://arxiv.org/abs/math/0510324
dc.identifierhttp://arxiv.org/abs/math/0510324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103680
dc.subjectAnalysis of PDEs
dc.titleA note on the smoothness of energy-minimizing incompressible deformations
dc.typetext

Files

Collections

arXiv