11 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
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 $$\left\{ \begin{aligned} & \sum_{|α| = m_1} \partial^αa_α(x, u_1) \ge f_1 (u_2) & \mbox{in } {\mathbb R}^n, & \sum_{|α| = m_2}…
On blow-up conditions for solutions of systems of quasilinear second-order elliptic inequalities
A. A. Kon'kov, A. E. Shishkov
We study systems of the differential inequalities $$ \left\{ \begin{aligned} & - \operatorname{div} A_1 (x, \nabla u_1) \ge F_1 (x, u_2) & \mbox{in } {\mathbb R}^n, & - \operatorna…
On global solutions of quasilinear second-order elliptic inequalities
A. A. Kon'kov, A. E. Shishkov
We consider the inequality $$ - \operatorname{div} A (x, \nabla u) \ge f (u) \quad \mbox{in } {\mathbb R}^n, $$ where and is a Caratheodory function such that $$ C_1…
On a Dini type blow-up condition for nonlinear higher order differential inequalities
A. A. Kon'kov, A. E. Shishkov
We obtain a Dini type blow-up condition for global weak solutions of the differential inequality $$ \sum_{|α| = m} \partial^α a_α(x, u) \ge g (|u|) \quad \mbox{in } {\mathbb R}^n,…
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}…