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arxiv: 2106.03920 · v2 · pith:IJZGBBWBnew · submitted 2021-06-07 · 🧮 math.AP

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

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keywords resultsboundaryexistencegrowthnonexistencepolyharmonicproblemssome
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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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