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Description: |
We consider the elliptic variational inequality associated with quasilinear
nonlinear
systems, including those of p-Laplacian type, and with the ordering
constraint of the
N-membrane problem. We extend the Lewy-Stampacchia inequalities for the
solution,
obtaining new regularity results for the derivatives of the solution,
including in the case
of linear operators (p=2) integrability of second derivatives for all q>1.
Considering the
N-membrane problem as coupled (N-1)-obstacle problem we obtain also the
corresponding
conditions for the stability of the coincidence sets for the variation of
external forces. This
is a joint work with A. Azevedo and L. Santos.
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