Existence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued terms

Simple item page
dc.contributor.authorZeng, Shengda
dc.contributor.authorBai, Yunru
dc.contributor.authorGasinski, Leszek
dc.contributor.authorKrech, Ireneusz
dc.date.accessioned2021-08-26T13:41:44Z
dc.date.available2021-08-26T13:41:44Z
dc.date.issued2021-05-06
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
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. <i>Electronic Journal of Differential Equations, 2021</i>(37), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14447
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectImplicit obstacle problem
dc.subjectClarke generalized gradient
dc.subjectNonhomogeneous partial differential operator
dc.subjectFixed point theorem
dc.subjectSurjectivity theorem
dc.titleExistence of solutions for implicit obstacle problems involving nonhomogeneous partial differential operators and multivalued termsen_US
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
zeng.pdf
Size:
359.18 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations