Nonlinear Weakly Elliptic 2X2 Systems of Variational Inequalities with Unilateral Obstacle Constraints

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dc.contributor.authorAdams, David R.
dc.contributor.authorNussenzveig Lopes, Helena J.
dc.date.accessioned2018-08-28T16:08:53Z
dc.date.available2018-08-28T16:08:53Z
dc.date.issued1997-10-31
dc.description.abstractWe study 2X2 systems of variational inequalities which are only weakly elliptic; in particular, these systems are not necessarily monotone. The prototype differential operator is the (vector-valued) p-Laplacian. We prove, under certain conditions, the existence of solutions to the unilateral obstacle problem. This work extends the results by the authors in [Annali di Mat. Pura ed Appl., 169(1995), 183--201] to nonlinear operators. In addition, we address the question of determining function spaces on which the p-Laplacian is a bounded nonlinear operator. This question arises naturally when studying existence for these systems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAdams, D. R., & Nussenzveig Lopes, H. J. (1997). Nonlinear weakly elliptic 2 x 2 systems of variational inequalities with unilateral obstacle constraints. <i>Electronic Journal of Differential Equations, 1997</i>(18), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7636
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, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectp-Laplacian
dc.subjectObstacle problem
dc.subjectNon-monotone systems of variational inequalities
dc.titleNonlinear Weakly Elliptic 2X2 Systems of Variational Inequalities with Unilateral Obstacle Constraints
dc.typeArticle

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