On the study of variational inequality of generalized Marguerre-von Kármán's type via Leray-Schauder degree

Abstract

The objective of this work is to study the existence theory for a class of variational inequalities of generalized Marguerr-von Kármán's type, which model unilateral problem for the buckling of generalized Marguerre-von Kármán shallow shells. More specifically, we reduce this problem to a variational inequality with cubic operator. Then, we prove the existence of solutions to this problem by using the Leray-Schauder degree.