Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/100234
Type: Artigo de periódico
Title: Nonlinear Weakly Elliptic 2 × 2 Systems Of Variational Inequalities With Unilateral Obstacle Constraints
Author: Adams D.R.
Nussenzveig Lopes H.J.
Abstract: We study 2 × 2 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.
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Rights: aberto
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-3042585750&partnerID=40&md5=9157e05a2abc53204681bb60315c86b4
Date Issue: 1997
Appears in Collections:Unicamp - Artigos e Outros Documentos

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