Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Regularity for Quasi-Linear p-Laplacian Type Non-homogeneous Equations in the Heisenberg Group

Version 1 : Received: 11 October 2022 / Approved: 12 October 2022 / Online: 12 October 2022 (13:49:26 CEST)

A peer-reviewed article of this Preprint also exists.

Yu, C. Regularity for Quasi-Linear p-Laplacian Type Non-Homogeneous Equations in the Heisenberg Group. Mathematics 2022, 10, 4129. Yu, C. Regularity for Quasi-Linear p-Laplacian Type Non-Homogeneous Equations in the Heisenberg Group. Mathematics 2022, 10, 4129.

Abstract

When 2−1/Q<p≤2, we establish the C^{0,1} and C^{1,α}-regularities of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg group.

Keywords

p-Laplacian type; non-homogeneous equations; Heisenberg group; regularities; Riesz potentials.

Subject

Computer Science and Mathematics, Analysis

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