The Growth of Gradients of QC-mappings in n-dimensional Euclidean Space with Bounded Laplacian
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Authors: N. MUTAVDžIć
DOI: 10.46793/KgJMat2307.1029M
Abstract:
Here we review M. Mateljević’s article [?], 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 [?], which has been recently presented on Belgrade Seminary of Complex Analysis.
Keywords:
PDE of the second order, Laplacian-Gradient Inequalities, Quasiconformal harmonic mappings, Boundary behavior of partial derivatives.
References:
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