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A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator. - MaRDI portal

A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator. (Q1413013)

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scientific article; zbMATH DE number 2002533
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English
A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator.
scientific article; zbMATH DE number 2002533

    Statements

    A homotopy along \(p\) for systems with a vector \(p\)-Laplace operator. (English)
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    10 November 2003
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    A continuation method, based on a suitable Leray-Schauder degree, is built for the vector \(p\)-Laplace operator. This is then applied to prove the solvability of the related vector Dirichlet problem. Two illustrating examples are supplied.
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    \(p\)-Laplace operator
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    Leray-Schauder degree
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    Dirichlet problem
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