An Invitation to Variational Methods in Differential Equations Free Download

This little book is a revised and expanded version of one I wrote for the “VIII Latin American School of Mathematics” [29], in Portuguese, based on which I have periodically taught a topics course over the last 18 years. As the – graduate students tle suggests, it is an introductory text. It is addressed to of mathematics in the area of differential equations/nonlinear analysis and to mathematicians in other areas who would like to have a first exposure to so called variational methods and their applications to PDEs and ODEs. Afterwards, the reader can choose from some excellent and more compreh- sive texts, which already exist in the literature but require somewhat more maturity in the area. We present a cross section of the area of variational methods, with a m- imum (no “pun” intended) of material, but clearly illustrating through one or two examples each of the results that we have chosen to present.