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

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dc.contributor.areamathematicsen_US
dc.contributor.authorFonda, Alessandro
dc.contributor.authorKlun, Giuliano
dc.contributor.authorObersnel, Franco
dc.contributor.authorSfecci, Andrea
dc.date.accessioned2022-02-21T11:09:23Z
dc.date.available2022-02-21T11:09:23Z
dc.date.issued2022-02-21
dc.descriptionSISSA 03/2022/MATEen_US
dc.description.abstractThe 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 theoryen_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35441
dc.language.isoenen_US
dc.titleOn the Dirichlet problem associated to bounded perturbations of positively-(p, q)-homogeneous Hamiltonian systemsen_US
dc.typePreprinten_US
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