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

Fonda, Alessandro; Klun, Giuliano; Obersnel, Franco; Sfecci, Andrea

dc.contributor.author	Fonda, Alessandro
dc.contributor.author	Klun, Giuliano
dc.contributor.author	Obersnel, Franco
dc.contributor.author	Sfecci, Andrea
dc.date.accessioned	2022-02-21T11:09:23Z
dc.date.available	2022-02-21T11:09:23Z
dc.date.issued	2022-02-21
dc.identifier.uri	http://preprints.sissa.it:8080/xmlui/handle/1963/35441
dc.description	SISSA 03/2022/MATE	en_US
dc.description.abstract	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	en_US
dc.language.iso	en	en_US
dc.title	On the Dirichlet problem associated to bounded perturbations of positively-(p, q)-homogeneous Hamiltonian systems	en_US
dc.type	Preprint	en_US
dc.contributor.area	mathematics	en_US