A Class of Nonlinear Elliptic Variational Inequalities: Qualitative Properties and Existence of Solutions

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dc.contributor.authorKorkut, Luka
dc.contributor.authorPasic, Mervan
dc.contributor.authorZubrinic, Darko
dc.date.accessioned2020-07-13T21:03:44Z
dc.date.available2020-07-13T21:03:44Z
dc.date.issued2002-02-09
dc.description.abstractWe study a class of nonlinear elliptic variational inequalities in divergence form. In the recent paper [6], we obtained results on the local control of essential infimum and supremum of solutions of quasilinear elliptic equations, and here we extend this point of view to the case of variational inequalities. It implies a new qualitative property of solutions in W1,p(Ω) which we call ``jumping over the control obstacle.'' Using the Schwarz symmetrization technique, we give an existence and symmetrization theorems in W1,p0(Ω) ∩ L∞(Ω) which agree completely with previous qualitative results. Also we consider generating singularities of weak solutions in W1,p(Ω) of variational inequalities.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKorkut, L., Pasic, M., & Zubrinic, D. (2002). A class of nonlinear elliptic variational inequalities: qualitative properties and existence of solutions. <i>Electronic Journal of Differential Equations, 2002</i>(14), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12054
dc.language.isoen
dc.publisherSouthwest Texas 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectVariational inequalities
dc.subjectDouble obstacle
dc.subjectQualitative properties
dc.subjectSchwarz symmetrization
dc.subjectGenerating singularities
dc.titleA Class of Nonlinear Elliptic Variational Inequalities: Qualitative Properties and Existence of Solutions
dc.typeArticle

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