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Radial Solutions of a Nonlinear K-Hessian System Involving a Nonlinear Operator

dc.contributor.author Yang, Zedong
dc.contributor.author Zhang, Lihong
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Wang, Guotao
dc.contributor.authorID 56389 tr_TR
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2022-12-07T12:02:20Z
dc.date.accessioned 2025-09-18T14:09:08Z
dc.date.available 2022-12-07T12:02:20Z
dc.date.available 2025-09-18T14:09:08Z
dc.date.issued 2020
dc.description Zhang, Lihong/0000-0002-3144-2237 en_US
dc.description.abstract In this paper, we consider the following nonlinear k-Hessian system {G(S-k(1/k)(lambda(D-2 z(1))))S-k(1/k)(lambda(D-2 z(1))) = b(|x|)phi(z(1), z(2)), x is an element of R-N, G(S-k(1/k)(lambda(D(2)z(2))))S-k(1/k)(lambda(D(2)z(2)) = h(|x|)psi(z(1), z(2)), x is an element of R-N, where G is a nonlinear operator. This paper first proves the existence of the entire positive bounded radial solutions, and secondly gives the existence and non-existence conditions of the entire positive blow-up radial solutions. Finally, we give some examples to illustrate our results. (c) 2020 Elsevier B.V. All rights reserved. en_US
dc.description.publishedMonth 12
dc.description.sponsorship NSFC [11501342]; NSF of Shanxi, China [201701D221007]; Graduate Innovation Program of Shanxi, China [2019SY301]; STIP [201802068, 201802069] en_US
dc.description.sponsorship This work is supported by NSFC (No.11501342), NSF of Shanxi, China (No.201701D221007), the Graduate Innovation Program of Shanxi, China (No.2019SY301) and STIP (Nos.201802068 and 201802069). All authors equally contributed this manuscript. en_US
dc.identifier.citation Wang, Guotao...et al. (2020). "Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator", Communications in Nonlinear Science and Numerical Simulation, Vol. 91. en_US
dc.identifier.doi 10.1016/j.cnsns.2020.105396
dc.identifier.issn 1007-5704
dc.identifier.issn 1878-7274
dc.identifier.scopus 2-s2.0-85087326581
dc.identifier.uri https://doi.org/10.1016/j.cnsns.2020.105396
dc.identifier.uri https://hdl.handle.net/20.500.12416/13286
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject K-Hessian System en_US
dc.subject Nonlinear Operator en_US
dc.subject Positive Radial Solution en_US
dc.subject Blow-Up en_US
dc.subject Monotone Iterative Method en_US
dc.title Radial Solutions of a Nonlinear K-Hessian System Involving a Nonlinear Operator en_US
dc.title Radial solutions of a nonlinear k-Hessian system involving a nonlinear operator tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Zhang, Lihong/0000-0002-3144-2237
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 55622789600
gdc.author.scopusid 57217524250
gdc.author.scopusid 55709293000
gdc.author.scopusid 7005872966
gdc.author.wosid Wang, Guotao/Aar-1198-2020
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Wang, Guotao; Yang, Zedong; Zhang, Lihong] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.volume 91 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3037429557
gdc.identifier.wos WOS:000573056300005
gdc.openalex.fwci 7.17760808
gdc.openalex.normalizedpercentile 0.98
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 37
gdc.plumx.crossrefcites 38
gdc.plumx.scopuscites 41
gdc.scopus.citedcount 41
gdc.wos.citedcount 38
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