A. A. Kon’kov

activity

20102024

most citedOn properties of solutions of quasilinear second-order elliptic inequalities

1 citations · 1 across the 5 of their papers we have counts for

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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 $n \geq 2$ and $A$ is a Caratheodory function such that $$ C_1…

math.AP2023

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,…

math.AP2014★ 1 cited

On properties of solutions of quasilinear second-order elliptic inequalities

Andrej A. Kon'kov

Let $Ω$ be an unbounded open subset of $R^{n}$ , $n \geq 2$ , and $A : Ω \times R^{n} \to R^{n}$ be a function such that $$ C_1 |ζ|^p \le ζ A (x, ζ), \quad |A (…

math.AP2010

On comparison theorems for elliptic inequalities

Andrej A. Kon'kov

We obtain comparison theorems for non-negative solutions of quasilinear elliptic inequalities