Bifurcation analysis of elliptic equations described by nonhomogeneous differential operators

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dc.contributor.authorMaagli, Habib
dc.contributor.authorAlsaedi, Ramzi
dc.contributor.authorZeddini, Noureddine
dc.date.accessioned2022-06-13T18:43:49Z
dc.date.available2022-06-13T18:43:49Z
dc.date.issued2017-09-19
dc.description.abstractIn this article, we are concerned with a class of nonlinear partial differential elliptic equations with Dirichlet boundary data. The key feature of this paper consists in competition effects of two generalized differential operators, which extend the standard operators with variable exponent. This class of problems is motivated by phenomena arising in non-Newtonian fluids or image reconstruction, which deal with operators and nonlinearities with variable exponents. We establish an existence property in the framework of small perturbations of the reaction term with indefinite potential. The mathematical analysis developed in this paper is based on the theory of anisotropic function spaces. Our analysis combines variational arguments with energy estimates.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMâagli, H., Alsaedi, R., & Zeddini, N. (2017). Bifurcation analysis of elliptic equations described by nonhomogeneous differential operators. Electronic Journal of Differential Equations, 2017(223), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15917
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectVariable exponent
dc.subjectNonhomogeneous differential operator
dc.subjectEkeland variational principle
dc.subjectEnergy estimates
dc.titleBifurcation analysis of elliptic equations described by nonhomogeneous differential operators
dc.typeArticle

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