3 papers
math.AP2026
On a necessary condition for removing singularities of solutions of nonlinear elliptic inequalities
A. A. Kon'kov, A. E. Shishkov
We study solutions of the differential inequality $$ Δ^{m / 2} u \ge f (x) g (u) \quad \mbox{in } B_1 \setminus \{ 0 \}, $$ where is an even integer, and are some…
math.AP2025
On bow-up conditions for systems of higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We consider systems of the differential inequalities $$\left\{ \begin{aligned} & \sum_{|α| = m_1} \partial^αa_α(x, u_1) \ge f_1 (u_2) & \mbox{in } {\mathbb R}^n, & \sum_{|α| = m_2}…
math.AP2018
Generalization of the Keller-Osserman theorem for higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain exact conditions guaranteeing that any global weak solution of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}…