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On double phase Kirchhoff problems with singular nonlinearity
| 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.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.identifier.issn | 21919496 | |
| dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/2930 | |
| dc.identifier.uri | https://idr-sdlib.iitbhu.ac.in/handle/123456789/2930 | |
| 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 |
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