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Publication Cover
Applicable Analysis
An International Journal
Volume 22, 1986 - Issue 1
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Original Articles

Regularity of local minimizers of an isotropic compressible hyperelastic material

Reza Malek-Madani Department of Mathematics, U.S. Naval Academy, Annapolis, Maryland, 21402
&
Penny D. Smith Department of Mathematics, Texas A & M, College Station, Texas, 77843
Pages 55-70 | Received 21 Aug 1986, Published online: 02 May 2007
 
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Abstract

Hölder continuity of local minimizers of the energy functional of an isotropic compressible hyperelastic material is studied. The functional is a nonconvex function of the deformation gradient.Using a blowup technique it is shown that all local minimizers are everywhere Hölder continuous.

AMS (MOS)::

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