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math.AP2025
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…
math.AP2022
On Hamiltonian systems with critical Sobolev exponents
Angelo Guimarães, Ederson Moreira dos Santos
In this paper we consider lower order perturbations of the critical Lane-Emden system posed on a bounded smooth domain , with , inspired by the clas…