111 citations · 426 across the 46 of their papers we have counts for
5 papers · 2 filters
Semilinear wave inequalities with double damping and potential terms on Riemannian Manifolds
Mohamed Jleli, Michael Ruzhansky, Bessem Samet +1
We study a semilinear wave inequality with double damping on a complete noncompact Riemannian manifold. The considered problem involves a potential function depending on the sp…
Global behavior of nonlocal in time reaction-diffusion equations
Berikbol T. Torebek
The present paper considers the Cauchy-Dirichlet problem for the time-nonlocal reaction-diffusion equation $$\partial_t (k\ast(u-u_0))+\mathcal{L}_x [u]=f(u),\,\,\,\, x\inΩ\subset\…
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups
Ahmad Z. Fino, Michael Ruzhansky, Berikbol T. Torebek
In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponen…
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…