Existence of solution for a p(x)-Kirchhoff type with singular weights

A. Zaki, A. Hamydy, N. Tsouli

In this paper we will use the compact embedding W1,p(x)0(Ω , 1/dα) ➝ L p(x)(Ω , 1/dγ) and Galerkin's approach to prove the existence of at least one solution to a p(x)-Kirchhoff problem with convection term and singular weights. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Special Issue (10 - 2021), pp. 191-202