Nonlinear Weakly Elliptic 2X2 Systems of Variational Inequalities with Unilateral Obstacle Constraints
dc.contributor.author | Adams, David R. | |
dc.contributor.author | Nussenzveig Lopes, Helena J. | |
dc.date.accessioned | 2018-08-28T16:08:53Z | |
dc.date.available | 2018-08-28T16:08:53Z | |
dc.date.issued | 1997-10-31 | |
dc.description.abstract | We 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 20 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Adams, D. R., & Nussenzveig Lopes, H. J. (1997). Nonlinear weakly elliptic 2 x 2 systems of variational inequalities with unilateral obstacle constraints. Electronic Journal of Differential Equations, 1997(18), pp. 1-20. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/7636 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | p-Laplacian | |
dc.subject | Obstacle problem | |
dc.subject | Non-monotone systems of variational inequalities | |
dc.title | Nonlinear Weakly Elliptic 2X2 Systems of Variational Inequalities with Unilateral Obstacle Constraints | |
dc.type | Article |