paper

On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group

arXiv:1804.00751 · doi:10.1016/j.na.2021.112453

Abstract

The goal of this article is to establish local Lipschitz continuity of weak solutions for a class of degenerated elliptic equations of divergence form, in the Heisenberg Group. The considered hypothesis for the growth and ellipticity condition is a natural generalization of the p-Laplace equation and more general quasilinear elliptic equations with polynomial or exponential type growth.

25 pages

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