The Growth of Gradients of QC-mappings in $n$-dimensional Euclidean space with bounded Laplacian
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1029 .

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Here we review M. Mateljević's article \cite{Mat}, with some novelities. We focus on mappings between smooth domains which have bounded Laplacian. As an application, if these mappings are quasiconformal, we obtain some results on the behavior of their partial derivatives on the boundary. In the last part of this article, we announce one new result of the author of \cite{Mat}, which has been recently presented on Belgrade Seminary of Complex Analysis.
DOI : 10.46793/KgJMat2307.1029M
Classification : 30C62, 31C05
Keywords: PDE of the second order, Laplacian-Gradient Inequalities, Quasiconformal harmonic mappings, Boundary behavior of partial derivatives
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Nikola Mutavdžić. The Growth of Gradients of QC-mappings in $n$-dimensional Euclidean space with bounded Laplacian. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1029 . doi : 10.46793/KgJMat2307.1029M. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1029M/

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