Abstract
In this chapter we will prove the Lipschitz regularity of solution to the degenerate p-Laplace equation for 1<p<∞\documentclass[12pt]{minimal}
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\begin{document}$$1<p<\infty $$\end{document} following (Zhong, Regularity for variational problems in the Heisenberg group, 2009 [1]). To achieve this we will try to obtain estimates independent of the non degeneracy parameter δ\documentclass[12pt]{minimal}
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\begin{document}$$\delta $$\end{document} when dealing with solutions to the non-degenerate equation, and then pass to the limit for δ→0\documentclass[12pt]{minimal}
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\begin{document}$$\delta \rightarrow 0$$\end{document}.