Calculus of Variations and Geometric Measure Theory
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S. Mukherjee

On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group

created by mukherjee on 19 Feb 2019

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Submitted Paper

Inserted: 19 feb 2019
Last Updated: 19 feb 2019

Year: 2018

ArXiv: 1804.00751 PDF

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.


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