Boundary regularity for elliptic systems with p, q-growth
Boegelein V, Duzaar F, Marcellini P, Scheven C (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 159
Pages Range: 250-293
DOI: 10.1016/j.matpur.2021.12.004
Abstract
We investigate the boundary regularity of minimizers of convex integral functionals with nonstandard p, q-growth and with Uhlenbeck structure. We consider arbitrary convex domains omega and homogeneous Dirichlet data on some part Gamma subset of partial differential omega of the boundary. For the integrand we assume only a non-standard p, q-growth condition. We establish Lipschitz regularity of minimizers up to Gamma, provided the gap between the growth exponents p and q is not too large, more precisely if 1 < p < q < p(1 + n2 ). To our knowledge, this is the first boundary regularity result under a non-standard p, q-growth condition.
Authors with CRIS profile
Involved external institutions
Università degli Studi di Firenze / University of Florence
Italy (IT)
Universität Duisburg-Essen (UDE)
Germany (DE)
Universität Salzburg (Paris Lodron Universität Salzburg)
Austria (AT)
Italy (IT)
Universität Duisburg-Essen (UDE)
Germany (DE)
Universität Salzburg (Paris Lodron Universität Salzburg)
Austria (AT)
How to cite
APA:
Boegelein, V., Duzaar, F., Marcellini, P., & Scheven, C. (2022). Boundary regularity for elliptic systems with p, q-growth. Journal De Mathematiques Pures Et Appliquees, 159, 250-293. https://dx.doi.org/10.1016/j.matpur.2021.12.004
MLA:
Boegelein, Verena, et al. "Boundary regularity for elliptic systems with p, q-growth." Journal De Mathematiques Pures Et Appliquees 159 (2022): 250-293.
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