Classical Sobolev approach for a critical fourth-order Leray-Lions type problem: existence and multiplicity of solutions

Angelo Guimarães, Edcarlos Domingos da Silva, Eduardo. H. Gomes Tavares +1

A fourth-order elliptic problem of Leray-Lions type is considered for combined nonlinearities and Sobolev-critical growth with Navier and Dirichlet boundary conditions. By combinin…