Calculus of Variations and Geometric Measure Theory

D. Mugnai

Almost uniqueness result for reversed variational inequalities

created by mugnai on 07 Nov 2007


Accepted Paper

Inserted: 7 nov 2007

Journal: Discrete Contin. Dyn. Syst.
Pages: 751--757
Year: 2007

Supplement 2007


In this note we show that reversed variational inequalities cannot be studied in a general abstract framework as it happens for classical variational inequalities with Stampacchia's Lemma. Indeed, we provide two different situations for reversed variational inequalities which are of the same type from an abstract point of view, but which behave quite differently.

Keywords: reversed variational inequalities, uniqueness