7 citations · 16 across the 8 of their papers we have counts for
8 papers
Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases
Meiirkhan B. Borikhanov, Berikbol T. Torebek
In the present paper, we consider the parabolic and hyperbolic inequalities with a singular potentials and with a critical nonlinearities in the annulus domain. The problems are st…
Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group
Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
In this paper, we study the nonlinear Sobolev type equations on the Heisenberg group. We show that the problems do not admit nontrivial local weak solutions, i.e. "instantaneous bl…
On inhomogeneous exterior Robin problems with critical nonlinearities
Meiirkhan B. Borikhanov, Berikbol T. Torebek
The paper studies the large-time behavior of solutions to the Robin problem for PDEs with critical nonlinearities. For the considered problems, nonexistence results are obtained, w…
Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation
Meiirkhan B. Borikhanov, Berikbol T. Torebek
In the present paper, we study an inhomogeneous pseudo-parabolic equation with nonlocal nonlinearity $$u_t-kΔu_t-Δu=I^γ_{0+}(|u|^{p})+ω(x),\,\ (t,x)\in(0,\infty)\times\mathbb{R}^N,…
The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group
Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
In this paper, we study a critical exponent to the semilinear heat equation with forcing term on Heisenberg group. Our technique of proof is based on methods of nonlinear capacity…
Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation
Meiirkhan B. Borikhanov, Michael Ruzhansky, Berikbol T. Torebek
In the present paper, we study the Cauchy-Dirichlet problem to the nonlocal nonlinear diffusion equation with polynomial nonlinearities $$\mathcal{D}_{0|t}^{α}u+(-Δ)^s_pu=γ|u|^{m-1…
Local and blowing-up solutions for an integro-differential diffusion equation and system
Meiirkhan Borikhanov, Berikbol T. Torebek
In the present paper initial problems for the semilinear integro-differential diffusion equation and system are considered. The analogue of Duhamel principle for the linear integro…
Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions
Meiirkhan Borikhanov, Mokhtar Kirane, Berikbol T. Torebek
In this paper, a maximum principle for the one-dimensional sub-diffusion equation with Atangana-Baleanu fractional derivative is formulated and proved. The proof of the maximum pri…