A. Gladkov

activity

20162020

collaborators

5 papers

math.AP2020

Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions

Alexander Gladkov, Mohammed Guedda

We consider semilinear parabolic equations with nonlinear boundary conditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of…

math.AP2020

Nonexistence of nonnegative entire solutions of semilinear elliptic systems

Alexander Gladkov, Sergey Sergeenko

We consider the second order semilinear elliptic system $Δ u = p (x) v^{α},$ $Δ v = q (x) u^{β},$ where $x \in R^{N},$ $N \geq 3,$ $α$ and $β$ are positive cons…

math.AP2019

Global existence of solutions of semilinear heat equation with nonlinear memory condition

Alexander Gladkov, Mohammed Guedda

We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of s…

math.AP2019

Global existence of solutions of initial-boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

Alexander Gladkov, Tatiana Kavitova

We prove global existence and blow-up of solutions of initial-boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained…

math.AP2016

Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition

Alexander Gladkov

In this paper we consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove comparis…