European Academy of Sciences

Brouwer Degree

The Core of Nonlinear Analysis
by George Dinca and Jean Mawhin

This monograph explores the concept of the Brouwer degree and its continuing impact on important areas of nonlinear analysis.The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004,linking it to the Kronecker index and employing the language of differential forms.Special attention is paid to the computation of the degree,as well as to the wide array of applications,such as linking,differential an partial differential equations,difference equations,variational and hemivariational inequalities,game theory,and mechanics.