Regularity results for minimizers of (2, q)-growth functionals in the Heisenberg Group

Foeglein, Anna (2010) Regularity results for minimizers of (2, q)-growth functionals in the Heisenberg Group. MANUSCRIPTA MATHEMATICA, 133 (1-2). pp. 131-172. ISSN 0025-2611, 1432-1785

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Abstract

We consider integral functionals in the Heisenberg group, whose convex C-2-integrand has quadratic growth from below, and growth of order q > 2 from above. We prove Holder regularity for the full gradient of minimizers under the condition that q is less than an explicitly calculated dimension-dependent bound.

Item Type: Article
Uncontrolled Keywords: GENERAL GROWTH-CONDITIONS; QUASI-LINEAR EQUATIONS; ELLIPTIC-EQUATIONS; INTEGRAL FUNCTIONALS; NONSTANDARD GROWTH; INEQUALITY; CALCULUS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Jul 2020 06:48
Last Modified: 15 Jul 2020 06:48
URI: https://pred.uni-regensburg.de/id/eprint/24270

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