On a ``reversed'' variational inequality

Dimitri Mugnai

DOI: http://dx.doi.org/10.12775/TMNA.2001.019

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.

Keywords


Reversed variational inequalities; topological and variational methods

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