By means of nonsmooth critical point theory we prove existence of at least two solutions for a general class of variational inequalities when between the obstacle and the behavior at +infinity there is a situation of jumping type.

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Alessandro Groli

Dip. di Matematica, Università di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy

Marco Squassina

Dip. di Matematica, Università di Milano, Via C. Saldini 50, 20133 Milano, Italy

A Groli, M. Squassina. “Jumping Problems for Fully Nonlinear Elliptic Variational Inequalities.” Journal of Convex Analysis 8 (2001), No. 2, 471–488.