Contents
Research Article
UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION
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- 07 November 2017, pp. 412-429
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In this paper we prove uniqueness theorems for mappings
$F\in W_{\text{loc}}^{1,n}(\mathbb{B}^{n};\mathbb{R}^{n})$ of finite distortion 
$1\leq K(x)=\Vert \mathit{DF}(x)\Vert ^{n}/J_{F}(x)$ satisfying some integrability conditions. These types of theorems fundamentally state that if a mapping defined in 
$\mathbb{B}^{n}$ has the same boundary limit 
$a$ on a ‘relatively large’ set 
$E\subset \unicode[STIX]{x2202}\mathbb{B}^{n}$, then the mapping is constant. Here the size of the set 
$E$ is measured in terms of its 
$p$-capacity or equivalently its Hausdorff dimension.
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JAZ volume 104 Issue 2 Cover and Back matter
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- 09 March 2018, pp. b1-b2
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JAZ volume 104 Issue 3 Cover and Front matter
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- 15 May 2018, pp. f1-f2
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JAZ volume 104 Issue 1 Cover and Front matter
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- 12 January 2018, pp. f1-f2
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Back Cover (OBC, IBC) and matter
JAZ volume 104 Issue 3 Cover and Back matter
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- 15 May 2018, pp. b1-b5
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JAZ volume 104 Issue 1 Cover and Back matter
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- Published online by Cambridge University Press:
- 12 January 2018, pp. b1-b2
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