On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities

Álvarez Caudevilla, Pablo; Watanabe, Tatsuya

Publication:
On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities

dc.affiliation.dpto	UC3M. Departamento de Matemáticas	es
dc.contributor.author	Álvarez Caudevilla, Pablo
dc.contributor.author	Watanabe, Tatsuya
dc.contributor.funder	Ministerio de Economía y Competitividad (España)	es
dc.date.accessioned	2021-04-08T10:00:17Z
dc.date.available	2021-04-08T10:00:17Z
dc.date.issued	2017-03-01
dc.description.abstract	This paper is devoted to the analysis of the existence of coexistence states for cooperative systems under homogeneous Dirichlet boundary conditions. We assume rather general spatial heterogeneities for the coefficients of the non-linearities and the cooperative terms. In order to obtain sharp existence results, we add advection terms related to the cooperative terms so that the system can be transformed into a variational one. Applying then several variational methods and bifurcation theory, we arrive at necessary and sufficient condition on the parameter λ for the existence and the uniqueness of coexistence states. We also compare the conditions for the heterogeneous case and the constant case.	en
dc.format.extent	26
dc.identifier.bibliographicCitation	Álvarez-Caudevilla, P. & Watanabe, T. (2017). On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities. Nonlinear Analysis: Theory, Methods & Applications, 152, pp. 12–37.	en
dc.identifier.doi	https://doi.org/10.1016/j.na.2016.12.009
dc.identifier.issn	0362-546X
dc.identifier.publicationfirstpage	12
dc.identifier.publicationlastpage	37
dc.identifier.publicationtitle	Nonlinear Analysis: Theory, Methods & Applications	en
dc.identifier.publicationvolume	152
dc.identifier.uri	https://hdl.handle.net/10016/32310
dc.identifier.uxxi	AR/0000019645
dc.language.iso	eng	en
dc.publisher	Elsevier	en
dc.relation.projectID	Gobierno de España. MTM2012-33258	es
dc.relation.projectID	Gobierno de España. RYC-2014-15284	es
dc.rights	© 2016 Elsevier Ltd.	en
dc.rights	Atribución-NoComercial-SinDerivadas 3.0 España	*
dc.rights.accessRights	open access	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.subject.eciencia	Matemáticas	es
dc.subject.other	Coexistence states	en
dc.subject.other	Cooperative systems	en
dc.subject.other	Variational methods	en
dc.title	On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities	en
dc.type	research article	*
dc.type.hasVersion	AM	*
dspace.entity.type	Publication