12 citations · 25 across the 4 of their papers we have counts for
4 papers · 1 filter
Nontrivial solutions to the Dirichlet problems for semilinear degenerate elliptic equations
Duong Trong Luyen, Nguyen Minh Tri, Dang Anh Tuan
In this article, we study the existence of non-trivial weak solutions for the following boundary-value problem \begin{gather*} -\frac{\partial^2 u}{\partial x^2} -\left|x\right|^{2…
Well-posedness for the Navier-Stokes equations with data in homogeneous Sobolev-Lorentz spaces
D. Q. Khai, N. M. Tri
In this paper, we study local well-posedness for the Navier-Stokes equations (NSE) with the arbitrary initial value in homogeneous Sobolev-Lorentz spaces $\dot{H}^s_{L^{q, r}}(\mat…
On the initial value problem for the Navier-Stokes equations with the initial datum in critical Sobolev and Besov spaces
D. Q. Khai, N. M. Tri
The existence of local unique mild solutions to the Navier-Stokes equations in the whole space with an initial tempered distribution datum in critical homogeneous or inhomogeneous…
Well-posedness for the Navier-Stokes equations with datum in Sobolev-Fourier-Lorentz spaces
D. Q. Khai, N. M. Tri
In this note, for and , we introduce and study Sobolev-Fourier-Lorentz spaces . In the fami…