On the singular problem involving fractional g-Laplacian
| dc.contributor.author | Bal, Kaushik | |
| dc.contributor.author | Mishra, Riddhi | |
| dc.contributor.author | Mohanta, Kaushik | |
| dc.date.accessioned | 2024-11-25T06:57:07Z | |
| dc.date.available | 2024-11-25T06:57:07Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | Bal, K., Mishra, R., & Mohanta, K. (2024). On the singular problem involving fractional g-Laplacian. <i>Complex Variables and Elliptic Equations</i>, <i>Early online</i>. <a href="https://doi.org/10.1080/17476933.2024.2429098" target="_blank">https://doi.org/10.1080/17476933.2024.2429098</a> | |
| dc.identifier.other | CONVID_244053587 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/98596 | |
| dc.description.abstract | In this paper, we show that the existence of a positive weak solution to the equation (−Δg)su=fu−q(x)inΩ, where Ω is a smooth bounded domain in RN, q∈C1(Ω¯¯), and (−Δg)s is the fractional g-Laplacian with g is the antiderivative of a Young function and f in suitable Orlicz space subjected to zero Dirichlet condition. This includes the mixed fractional (p,q)−Laplacian as a special case. The solution so obtained is also shown to be locally Hölder continuous. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Taylor & Francis | |
| dc.relation.ispartofseries | Complex Variables and Elliptic Equations | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | singular problem | |
| dc.subject.other | variable singularity | |
| dc.subject.other | fractional g-Laplacian | |
| dc.title | On the singular problem involving fractional g-Laplacian | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202411257426 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.relation.issn | 1747-6933 | |
| dc.relation.volume | Early online | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2024 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 346310 | |
| dc.relation.grantnumber | 323960 | |
| dc.relation.grantnumber | 364210 | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | funktioteoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1080/17476933.2024.2429098 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundinginformation | Research of the first author was funded by MATRICS (DST, INDIA) project MTR/2020/000594. Research of the second author was supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (Project #364210). Research of the third author was supported by the Academy of Finland (project #323960) and by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (project #346310). | |
| dc.type.okm | A1 |
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