11 citations · 13 across the 24 of their papers we have counts for
24 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 $$\left\{ \begin{aligned} & \sum_{|α| = m_1} \partial^αa_α(x, u_1) \ge f_1 (u_2) & \mbox{in } {\mathbb R}^n, & \sum_{|α| = m_2}…
On the existence of global solutions of second-order quasilinear elliptic inequalities
A. A. Kon'kov, A. E. Shishkov, M. D. Surnachev
We study the existence of global positive solutions of the differential inequalities $$ - \operatorname{div} A (x, u, \nabla u) \ge f (u) \quad \mbox{in } {\mathbb R}^n, $$ where $…
On the exactness of the Kiguradze-Kvinikadze blow-up condition for nonlinear ordinary differential equations
A. A. Kon'kov
We show the exactness of the Kiguradze--Kvinikadze blow-up condition for solutions of the Cauchy problem $$ w^{(m)} = f (t, w, \ldots, w^{(m - 1)}), \qquad w^{(i)} (0) = a_i \ge 0,…
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…