2 papers
math.AP2023
On Harnack inequality to the homogeneous nonlinear degenerate parabolic equations
Jasarat Gasimov, Farman Mamedov
In this paper, the Harnack inequality result are established for a new class of the homogeneous nonlinear degenerate parabolic equations \begin{align*} div A(t,x,u,\nabla_x u)-\par…
math.AP2023
On existence of two positive solutions for the nonlinear subelliptic equations involving nonuniformly p-Laplacian
Farman Mamedov, Jasarat Gasimov
In this paper, we study a solvability result for the nonlinear problem $$ \mbox {div } \left ( \vert \nabla_ωu\vert^{p-2}\nabla_ωu \right )+v(x) u^{q-1}+μu^{γ-1}=0, \quad z\in Ω, \…