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A topological degree for operators of generalized \((S_{+})\) type - MaRDI portal

A topological degree for operators of generalized \((S_{+})\) type (Q288122)

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scientific article; zbMATH DE number 6584463
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A topological degree for operators of generalized \((S_{+})\) type
scientific article; zbMATH DE number 6584463

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    A topological degree for operators of generalized \((S_{+})\) type (English)
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    24 May 2016
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    The authors introduce a topological degree theory of Berkovits type for a class of demicontinuous operators satisfying a version of the \((S_+)\) property. This theory is applied to obtain an extension of the Borsuk theorem and an existence result for a Dirichlet boundary value problem with \(p\)-Laplacian.
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    operator of \((S_{+})\) type
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    quasimonotone operator
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    degree theory
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    \(p\)-Laplacian
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