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

Chengwei Yu ()
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Chengwei Yu: School of Mathematical Sciences, Beihang University, Haidian District, Xueyuan Road No. 37, Beijing 100191, China

Mathematics, 2022, vol. 10, issue 21, 1-22

Abstract: When 2 − 1 / Q < p ≤ 2 , we establish the C loc 0 , 1 and C loc 1 , α -regularities of weak solutions to quasi-linear p -Laplacian type non-homogeneous equations in the Heisenberg group H n , where Q = 2 n + 2 is the homogeneous dimension of H n .

Keywords: p -Laplacian type; non-homogeneous equations; Heisenberg group; regularities; Riesz potentials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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