Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces

Cuesta, Mabel; Pardo San Gil, Rosa

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Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces

dc.contributor.author	Cuesta, Mabel
dc.contributor.author	Pardo San Gil, Rosa
dc.date.accessioned	2023-06-22T10:47:14Z
dc.date.available	2023-06-22T10:47:14Z
dc.date.issued	2022-04-25
dc.description	CRUE-CSIC (Acuerdos Transformativos 2022)
dc.description.abstract	This paper concerns semilinear elliptic equations involving sign-changing weight function and a nonlinearity of subcritical nature understood in a generalized sense. Using an Orlicz–Sobolev space setting, we consider superlinear nonlinearities which do not have a polynomial growth, and state sufficient conditions guaranteeing the Palais–Smale condition. We study the existence of a bifurcated branch of classical positive solutions, containing a turning point, and providing multiplicity of solutions.
dc.description.department	Depto. de Análisis Matemático y Matemática Aplicada
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.sponsorship	Ministerio de Ciencia e Innovación (MICINN)
dc.description.sponsorship	Universidad Complutense de Madrid/Banco de Santander
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/72921
dc.identifier.doi	10.1007/s00032-022-00354-1
dc.identifier.issn	1424-9286
dc.identifier.relatedurl	https://link.springer.com/article/10.1007/s00032-022-00354-1
dc.identifier.uri	https://hdl.handle.net/20.500.14352/71664
dc.journal.title	Milan Journal of Mathematics
dc.language.iso	eng
dc.publisher	Birkhäuser
dc.relation.projectID	PID2019-103860GB-I00
dc.relation.projectID	GR58/08 (Grupo 920894)
dc.rights	Atribución 3.0 España
dc.rights.accessRights	open access
dc.rights.uri	https://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu	515.14
dc.subject.keyword	Positive solutions
dc.subject.keyword	Subcritical nonlinearity
dc.subject.keyword	Changing sign weight.
dc.subject.ucm	Topología
dc.subject.unesco	1210 Topología
dc.title	Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces
dc.type	journal article
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dspace.entity.type	Publication