Show simple item record

dc.contributor.authorZeng, Shengda ( Orcid Icon 0000-0003-1818-842X )
dc.contributor.authorBai, Yunru ( )
dc.contributor.authorGasinski, Leszek ( Orcid Icon 0000-0001-8692-6442 )
dc.contributor.authorKrech, Ireneusz ( Orcid Icon 0000-0002-7820-0622 )
dc.date.accessioned2021-08-26T13:41:44Z
dc.date.available2021-08-26T13:41:44Z
dc.date.issued2021-05-06
dc.identifier.citationZeng, S., Bai, Y., Gasinski, L., & Krech, I. (2021). Existence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued terms. Electronic Journal of Differential Equations, 2021(37), pp. 1-18.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14447
dc.description.abstractIn this article, we study an implicit obstacle problem with a nonlinear nonhomogeneous partial differential operator and a multivalued operator which is described by a generalized gradient. Under quite general assumptions on the data, and employing Kluge's fixed point principle for multivalued operators, Minty technique and a surjectivity theorem, we prove that the set of weak solutions to the problem is nonempty, bounded and weakly closed.en_US
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectImplicit obstacle problemen_US
dc.subjectClarke generalized gradienten_US
dc.subjectNonhomogeneous partial differential operatoren_US
dc.subjectFixed point theoremen_US
dc.subjectSurjectivity theoremen_US
dc.titleExistence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued termsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record