Degree Theory in Analysis and Applications

The idea of extending the notion of degree to non-smooth functions came about as a result of developments in non-linear analysis. In this book Irene Fonseca and Wilfrid Gangbo consider several aspects of degree theory as applied to continuous finctions and in particular to Sobolev functions, an area in which their own recent work has won them recognition. Existing texts on degree theory approach the subject from an algebraic or topological viewpoint but in this account the emphasis is on analysis. The first chapters should be accessible to graduate students and the book as a whole provides a useful reference on recent developments in degree theory, bringing together many results that currently exist only in journals.