Duzaar F, Grotowski JF, Kronz M (2004)
Publication Type: Journal article
Publication year: 2004
Publisher: Heldermann Verlag
Book Volume: 11
Pages Range: 437-476
Journal Issue: 2
URI: http://www.heldermann.de/JCA/JCA11/jca11027.htm
We consider regularity at the boundary for minimizers of variational integrals whose integrands have nonquadratic growth in the gradient. Under relatively mild assumptions on the coefficients we obtain a partial regularity result. For coefficients of a more particular type, namely those satifying a particular splitting condition, we obtain full boundary regularity. The results are new for the situation under consideration. The key ingredients are a new version of the usual Gehring-type lemma, and a careful adaptation of the technique of dimension-reduction to the current setting.
APA:
Duzaar, F., Grotowski, J.F., & Kronz, M. (2004). Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. Journal of Convex Analysis, 11(2), 437-476.
MLA:
Duzaar, Frank, Joseph Francis Grotowski, and Manfred Kronz. "Partial and full boundary regularity for minimizers of functionals with nonquadratic growth." Journal of Convex Analysis 11.2 (2004): 437-476.
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