HIGHER GRADIENT INTEGRABILITY OF MINIMIZERS FOR A POLYCONVEX CASE IN 2-DIMENSIONS

Authors
DOUGHERTY MM
Citation
Mm. Dougherty, HIGHER GRADIENT INTEGRABILITY OF MINIMIZERS FOR A POLYCONVEX CASE IN 2-DIMENSIONS, SIAM journal on mathematical analysis, 28(3), 1997, pp. 530-538
Citations number
8
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
3
Year of publication
1997
Pages
530 - 538
Database
ISI
SICI code
0036-1410(1997)28:3<530:HGIOMF>2.0.ZU;2-J
Abstract
Local LP-estimates, 1 < p < infinity, of the gradient are proved for m inimizers of certain functionals whose integrands have quadratic growt h in the gradient and are polyconvex ''at infinity.'' Both variations of dependent and independent variables of the minimizers are used to d erive equations from which Calderon-Zygmund theory gives the result. H older continuity of the minimizers will follow as a corollary.