PreprintCC BY 4.0arXiv
On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities
Abstract
We study solutions of the differential inequality Δm / 2 u ≥ f (x) g (u) in B1 ∖ { 0 }, where m ≥ 2 is an even integer, f and g are some functions, and B1 is an open unit ball in Rn, n ≥ 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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BibTeX
@misc{konkov2026necessary,
title = {{On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities}},
author = {A. A. Kon'kov and A. E. Shishkov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.15413},
eprint = {2606.15413},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.15413},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities
AU - A. A. Kon'kov
AU - A. E. Shishkov
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2606.15413
UR - https://arxiv.org/abs/2606.15413
AB - We study solutions of the differential inequality Δ^m / 2 u ≥ f (x) g (u) in B_1 ∖ { 0 }, where m ≥ 2 is an even integer, f and g are some functions, and B_1 is an open unit ball in R^n, n ≥ 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.
ER -