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

Published 7 Jun 2021 in math.AP | (2106.03920v2)

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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