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math.AP2024
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 $$ \left\{ \begin{aligned} & - \operatorname{div} A_1 (x, \nabla u_1) \ge F_1 (x, u_2) & \mbox{in } {\mathbb R}^n, & - \operatorna…
math.AP2024
On global solutions of quasilinear second-order elliptic inequalities
A. A. Kon'kov, A. E. Shishkov
We consider the inequality $$ - \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…