Calculus of Variations and Geometric Measure Theory

D. Mugnai

On a "reversed" variational inequality

created on 08 Feb 2001
modified on 24 Feb 2002


Published Paper

Inserted: 8 feb 2001
Last Updated: 24 feb 2002

Year: 2001


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.