Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Stability of weakly almost conformal mappings

Author(s): Baisheng Yan; Zhengfang Zhou
Journal: Proc. Amer. Math. Soc. 126 (1998), 481-489.
MSC (1991): Primary 49J10, 35J50, 30C62
MathSciNet review: 1415344
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Abstract: We prove a stability of weakly almost conformal mappings in $W^{1, p}(\Omega;\mathbf {R}^n)$ for $p$ not too far below the dimension $ n$ by studying the $W^{1, p}$ -quasiconvex hull of the set $\mathcal C_n$ of conformal matrices. The study is based on coercivity estimates from the nonlinear Hodge decompositions and reverse Hölder inequalities from the Ekeland variational principle.

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