Fixed Point Theory and Applications
Volume 2004 (2004), Issue 4, Pages 261-271
doi:10.1155/S1687182004407074

On the study of a class of variational inequalities via Leray-Schauder degree

D. Goeleven1 , D. Motreanu2 and V.V. Motreanu2

1IREMIA, Faculté des Sciences et Technologies, Université de La Réunion, Saint-Denis 97400, France
2Department of Mathematics, Perpignan University, Perpignan Cedex 66860, France

Abstract

We present existence results for general variational inequalities without monotonicity or coercivity assumptions. It relies on a Leray-Schauder degree approach and provides additional information about the location of solutions.