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Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) - MaRDI portal

Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) (Q1651939)

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Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\)
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    Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\) (English)
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    11 July 2018
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    The authors study a higher order elliptic equation in \(\mathbb R^N\) that involves the \(k\)-Hessian operator establishing existence and local uniqueness of solutions. A nonlocal extension is investigated too.
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    poly-Laplacian
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    \(k\)-Hessian-type equation
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    existence of solutions
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    uniqueness of solutions
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