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Zeitschrift für Analysis und ihre Anwendungen


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Volume 22, Issue 2, 2003, pp. 471–472
DOI: 10.4171/ZAA/1157

Published online: 2003-06-30

Erratum to: C^(1, α) Local Regularity for the Solutions of the p-Laplacian on the Heisenberg Group for 2 ≤ p < 1 + Squareroot(5)

Silvana Marchi[1]

(1) Università di Parma, Italy

The paper mentioned in the title [Z. Anal. Anwend. 20 (2001) 617--636] dealt with some equations approximating the p-Laplacian on the Heisenberg group. We proved the existence of the second derivatives of their solutions for 2 ≤ p < 1 + Squareroot(5). But the differentiation of the approximating equations is incorrect. So the regularity for the solutions of the p-Laplacian obtained from it as a by-product must be considered as not proved.

Keywords: Degenerate elliptic equation, weak solutions, regularity of solutions, higher differentiability

Marchi Silvana: Erratum to: C^(1, α) Local Regularity for the Solutions of the p-Laplacian on the Heisenberg Group for 2 ≤ p < 1 + Squareroot(5). Z. Anal. Anwend. 22 (2003), 471-472. doi: 10.4171/ZAA/1157