Isolated Singularities of Polyharmonic Inequalities

Details Isolated Singularities of Polyharmonic Inequalities Isolated Singularities of Polyharmonic Inequalities

2010-06-14

arxiv.org/abs/1006.2756v2

Mathematics

Analysis of PDEs

18 pages

Scientific paper

We study nonnegative classical solutions $u$ of the polyharmonic inequality
$-\Delta^m u > 0$ in a punctured neighborhood of the origin in $R^n$. We give
necessary and sufficient conditions on integers $n\ge 2$ and $m\ge 1$ such that
these solutions $u$ satisfy a pointwise a priori bound as $x\to 0$.

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