$C^{1,\alpha }$-Regularity for variational problems in the Heisenberg group

Abstract

We study the regularity of minima of scalar variational integrals of $p$-growth, $1<p<\infty$, in the Heisenberg group and prove the Hölder continuity of horizontal gradient of minima.

arXiv admin note: text overlap with arXiv:1711.03284

Cited by in corpus (3)

• Regularity of quasi-linear equations with Hörmander vector fields of step two
• Weak Differentiability to Nonuniform Nonlinear Degenerate Elliptic Systems under $p,q$-growth Condition on the Heisenberg Group
• Regularity for Mixed Local and Nonlocal Degenerate Elliptic Equations in the Heisenberg Group