Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion (Q345291)
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scientific article; zbMATH DE number 6658545
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion |
scientific article; zbMATH DE number 6658545 |
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Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion (English)
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1 December 2016
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The authors consider degenerate Sobolev spaces where the degeneracy is controlled by matrix \(A_p\)-weights. They prove the classical Meyers-Serrin result \( H=W \) in this setting and give applications to weak solutions of degenerate \(p\)-Laplace equations and to mappings of finite distortion.
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mappings of finite distortion
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degenerate Sobolev spaces
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\(p\)-Laplace equations
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