New class of sixth-order nonhomogeneous $p(x)$-Kirchhoff problems with sign-changing weight functions

M. K. Hamdani, N. T. Chung, D. D. Repovš

We prove the existence of multiple solutions for the following sixth-order $p(x)$-Kirchhoff-type problem: $-M(\int_Ω\frac{1}{p(x)}|\nabla Δu|^{p(x)}dx)Δ^3_{p(x)} u = λf(x)|u|^{q(x)…