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arXiv · 2606.15413

On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities

A. A. Kon'kov·A. E. Shishkov
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Abstract

We study solutions of the differential inequality $$ \Delta^{m / 2} u \ge f (x) g (u) \quad \mbox{in } B_1 \setminus \{ 0 \}, $$ where $m \ge 2$ is an even integer, $f$ and $g$ are some functions, and $B_1$ is an open unit ball in $R^n$, $n \ge 2$, centered at zero. Our aim is to obtain a necessary condition for a singularity at zero to be removable for any solution of this inequality.

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A. A. Kon'kov, A. E. Shishkov. 2026-06-13. On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities. https://arxiv.org/abs/2606.15413

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