111 citations · 426 across the 46 of their papers we have counts for
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Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group
Aidyn Kassymov, Michael Ruzhansky, Niyaz Tokmagambetov +1
In this paper, we show the nonexistence results for the Kirchhoff elliptic, parabolic, and hyperbolic type equations on the Heisenberg groups. Also, the pseudo-parabolic and pseudo…
Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems
Michael Ruzhansky, Berikbol T. Torebek, Batirkhan Kh. Turmetov
In this paper Tricomi-Gellerstedt-Keldysh-type fractional elliptic equations are studied. The results on the well-posedness of fractional elliptic boundary value problems are obtai…
Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups
Michael Ruzhansky, Bolys Sabitbek, Berikbol Torebek
In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium equation and the nonlinear pse…
Global existence and blow-up of solutions to the double nonlinear porous medium equation
Bolys Sabitbek, Berikbol Torebek
In this study, we examine a double nonlinear porous medium equation subject to a novel nonlinearity condition within a bounded domain. First, we introduce the blow-up solution for…