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|Type:||Artigo de periódico|
|Title:||Nonlinear Weakly Elliptic 2 × 2 Systems Of Variational Inequalities With Unilateral Obstacle Constraints|
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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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