Fonda, AlessandroKlun, GiulianoObersnel, FrancoSfecci, Andrea2022-02-212022-02-212022-02-21https://openscience.sissa.it/handle/1963/35441SISSA 03/2022/MATEThe existence of solutions for the Dirichlet problem associated to bounded perturbations of positively-(p, q)-homogeneous Hamiltonian sys tems is considered both in nonresonant and resonant situations. In order to deal with the resonant case, the existence of a couple of lower and up per solutions is assumed. Both the well-ordered and the non-well-ordered cases are analysed. The proof is based on phase-plane analysis and topo logical degree theoryenPreprint