Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth

Abdellaziz Harrabi; Foued Mtiri; Wafa Mtaouaa

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Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth

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arxiv 2106.03920 v2 pith:IJZGBBWB submitted 2021-06-07 math.AP

Abdellaziz Harrabi , Foued Mtiri , Wafa Mtaouaa This is my paper · ORCID

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keywords resultsboundaryexistencegrowthnonexistencepolyharmonicproblemssome

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abstract

We establish some existence results of polyharmonic boundary value problems with supercritical growth. Our approach is based on truncation argument as well as $L^{\infty}$-bounds. Also, by virtue of Pucci-serrin's variational identity \cite{PS}, we provide some nonexistence results.

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