Degree theory for the sum of VMO maps and maximal monotone maps (Q2904095)
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scientific article; zbMATH DE number 6063561
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degree theory for the sum of VMO maps and maximal monotone maps |
scientific article; zbMATH DE number 6063561 |
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Degree theory for the sum of VMO maps and maximal monotone maps (English)
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6 August 2012
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degree theory
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maximal monotone operator
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homotopy property
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The authors define a topological degree for maps of the form \(f+T:\Omega\cap D(T)\to \mathbb{R}^n\), where \(\Omega, D(T)\subset \mathbb{R}^n\), \(f:\Omega \to \mathbb{R}^n\) belongs to the class of vanishing mean oscillation functions (\(\mathcal{VMO}\)) and \(T:D(T)\to\mathbb{R}^n\) is a maximal monotone operator. This degree has the existence property and is constant along suitable homotopies of either \(f\) or \(T\).
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