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The existence of at least one positive radial solution of the p-biharmonic problem Δ H n (w (ξ) | Δ H n u | p − 2 Δ H n u) + R (ξ) w (ξ) | u | p − 2 u = ∑ i = 1 m a i (| ξ | H n ) | u | q i − 2 u − ∑ j = 1 k b j (| ξ | H n ) | u | r j − 2 u , with Navier boundary condition on a Korányi ball is proved, where w ∈ As is a Muckenhoupt weight function and Δ H n , p 2 is the Heisenberg p-biharmonic operator. [ABSTRACT FROM AUTHOR]

In this article we prove the existence of at least two weak solutions for a Kirchhoff-type problem by using the minimum principle, the mountain pass theorem and variational methods in Orlicz–Sobolev spaces. [ABSTRACT FROM AUTHOR]