Abstract
In this chapter we will prove the Lipschitz regularity of solution to the degenerate p-Laplace equation for \(1<p<\infty \) 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 \(\delta \) when dealing with solutions to the non-degenerate equation, and then pass to the limit for \(\delta \rightarrow 0\).
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Reference
Zhong, X.: Regularity for variational problems in the Heisenberg group. Preprint, (2009)
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Ricciotti, D. (2015). Lipschitz Regularity. In: p-Laplace Equation in the Heisenberg Group. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-23790-9_5
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DOI: https://doi.org/10.1007/978-3-319-23790-9_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23789-3
Online ISBN: 978-3-319-23790-9
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