Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent

dc.contributor.authorKyelem, Bila Adolphe
dc.contributor.authorOuaro, Stanislas
dc.contributor.authorZoungrana, Malick
dc.date.accessioned2022-04-12T13:48:03Z
dc.date.available2022-04-12T13:48:03Z
dc.date.issued2017-04-25
dc.description.abstractIn this article, we prove the existence of solutions for some discrete nonlinear difference equations subjected to a potential boundary type condition. We use a variational technique that relies on Szulkin's critical point theory, which ensures the existence of solutions by ground state and mountain pass methods.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKyelem, B. A., Ouaro, S., & Zoungrana, M. (2017). Classical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent. <i>Electronic Journal of Differential Equations, 2017</i>(109), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15641
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPotential boundary type condition
dc.subjectVariational methods
dc.subjectCritical point
dc.subjectGround state method
dc.subjectPalais-Smale condition
dc.subjectMountain Pass Theorem
dc.titleClassical solutions for discrete potential boundary value problems with generalized Leray-Lions type operator and variable exponent
dc.typeArticle

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