"The Principle of Least Action originates in the idea that, if Nature has a purpose, it should follow a minimum or critical path. This simple principle (and its variants and generalizations) applies to optics, mechanics, electromagnetism, relativity and quantum mechanics, and pr…
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classe…
The inverse problem of the calculus of variations is the problem of finding variational principles for systems of differential equations. By using the general theory of the variational bicomplex, it is shown that the inverse problem for ordinary differential equations is equival…
The purpose of this book is to present a new approach to fundamental questions concerning the calculus of variations (and more generally to the theory of optimization) based on a systematic analysis of Young measures. Weak lower semicontinuity and relaxation are main areas of co…
