On the Dirichlet problem associated to bounded perturbations of positively-(p, q)-homogeneous Hamiltonian systems

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2022-02-21
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The 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 theory
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SISSA 03/2022/MATE
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