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dc.contributor.authorVoitovych, Mykhailo ( )
dc.date.accessioned2022-04-01T17:02:57Z
dc.date.available2022-04-01T17:02:57Z
dc.date.issued2017-03-02
dc.identifier.citationVoitovych, M. V. (2017). Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms. Electronic Journal of Differential Equations, 2017(63), pp. 1-18.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15589
dc.description.abstractIn this article we extend the author's previous results on the existence of bounded generalized solutions of a Dirichlet problem for nonlinear elliptic fourth-order equations with the principal part satisfying a strengthened coercivity condition, and a lower-order term having a "natural" growth with respect to the derivatives of the unknown function. Namely, we prove the Hölder continuity of bounded generalized solutions of such equations.en_US
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNonlinear elliptic equationsen_US
dc.subjectStrengthened coercivityen_US
dc.subjectLower-order termen_US
dc.subjectNatural growthen_US
dc.subjectBounded solutionen_US
dc.subjectHölder continuityen_US
dc.titleHölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth termsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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