The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The...
The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have...
These notes are the contents of a one semester graduate course which taught at Brown University during the academic year 1981-1982. They are mainly concerned with regularity theory for obstacle problems, and with the dam problem, which, in the rectangular case, is one of the most in- teresting applications of Variational Inequalities with an obstacle. Very little background is needed to read these notes. The main re- sults of functional analysis which are used here are recalled in the text. The goal of the two first chapters is to introduce the notion of Varia- tional Inequality and give some...
These notes are the contents of a one semester graduate course which taught at Brown University during the academic year 1981-1982. They are mainly co...
