# On a "reversed" variational inequality

created on 08 Feb 2001
modified on 24 Feb 2002

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Published Paper

Inserted: 8 feb 2001
Last Updated: 24 feb 2002

Year: 2001

Abstract:

We are concerned with a class of penalized semilinear elliptic problems depending on a parameter. We study some multiplicity results and the limit problem obtained when the parameter goes to $\infty$. We obtain a reversed'' variational inequality, which is deeply investigated in low dimension.