2 papers
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, \…
math.FA2012
On necessary and sufficient conditions for the variable exponent Hardy type inequality
Farman Mamedov
We derive a number of equivalent criterions for the variable exponent Hardy type inequality |\frac{1}{x}\int_{0}^{x}f(t)dt|_{L^{p(.)}(0,1)}\leq C|f|_{L^{p(.)}(0,1)}; f\geq 0. to ho…