Work

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

Year: 2026

Type: preprint

Abstract: We study solutions of the differential inequality $$ Δ^{m / 2} u \ge f (x) g (u) \quad \mbox{in } B_1 \setminus \{ 0 \}, $$ 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.15413

Authors: Kon'kov, A. A., Shishkov, A. E.

Institutions: Peoples' Friendship University of Russia, Lomonosov Moscow State University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7164942557

Cites:

Cited by:

Related to: 10