On double phase Kirchhoff problems with singular nonlinearity

Arora, Rakesh; Fiscella, Alessio; Mukherjee, Tuhina; Winkert, Patrick

dc.contributor.author	Arora, Rakesh
dc.contributor.author	Fiscella, Alessio
dc.contributor.author	Mukherjee, Tuhina
dc.contributor.author	Winkert, Patrick
dc.date.accessioned	2024-02-15T11:29:26Z
dc.date.available	2024-02-15T11:29:26Z
dc.date.issued	2023-06-14
dc.identifier.issn	21919496
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2930
dc.description	This paper published with affiliation IIT (BHU), Varanasi in Open Access Mode.	en_US
dc.description.abstract	In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth. Under very general assumptions on the data, we prove the existence of at least two weak solutions that have different energy sign. Our treatment is based on the fibering method in form of the Nehari manifold. We point out that we cover both the nondegenerate as well as the degenerate Kirchhoff case in our setting.	en_US
dc.description.sponsorship	A. Fiscella is member of the Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica “G. Severi” (INdAM). A. Fiscella realized the manuscript within the auspices of the INdAM-GNAMPA project titled “Equazioni alle derivate parziali: problemi e modelli” (Prot_20191219-143223-545) and of the FAPESP Thematic Project titled “Systems and partial differential equations” (2019/02512-5). R. Arora acknowledges the support of the Research Grant from Czech Science Foundation, project GJ19-14413Y.	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter Open Ltd	en_US
dc.relation.ispartofseries	Advances in Nonlinear Analysis;12
dc.subject	double phase operator	en_US
dc.subject	fibering method	en_US
dc.subject	Kirchhoff term	en_US
dc.subject	multiple solutions	en_US
dc.subject	Nehari manifold	en_US
dc.subject	singular problems	en_US
dc.title	On double phase Kirchhoff problems with singular nonlinearity	en_US
dc.type	Article	en_US