Calculus of Variations and Geometric Measure Theory
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F. Bigolin - L. Caravenna - F. Serra Cassano

INTRINSIC LIPSCHITZ GRAPHS IN HEISENBERG GROUPS AND CONTINUOUS SOLUTIONS OF BALANCE EQUATIONS

created by bigolin on 14 Feb 2012

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Preprint

Inserted: 14 feb 2012
Last Updated: 14 feb 2012

Year: 2012

Abstract:

In this paper we provide a characterization of intrinsic Lipschitz graphs in the sub- Riemannian Heisenberg groups in terms of their distributional gradients. Moreover, we prove the equivalence of different notions of continuous weak solutions to the equation $\phi_y + [\phi^2/2]_t = w$, where $w$ is a bounded function


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