C1,α-regularity of quasilinear equations on the Heisenberg group

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C1,α-regularity of quasilinear equations on the Heisenberg group

Mukherjee, Shirsho

Journal of Differential Equations, 07/2023, Volume: 360

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In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the p-Laplacian and include equations with polynomial or exponential type growth. Some more general conditions have also been explored.

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