Nonconvex Optimal Control and Variational Problems Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations. This volume contains a number of results concerning well posedness of optimal control and variational problems nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2 5 consider the well posedness condition using fine tools of general topology and porosity. Chapters 6 8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite dimensional linear control problems and Chapter 10 deals with “good” functions and explores new understandings on the questions of optimality and variational problems. Finally Chapters 11 12 are centered around the turnpike property a particular area of expertise for the author. This volume is intended for mathematicians engineers and scientists interested in the calculus of variations optimal control optimization and applied functional analysis as well as both undergraduate and graduate students specializing in those areas. The text devoted to Turnpike properties may be of particular interest to the economics community. Also by Alexander J. Zaslavski: Optimization on Metric and Normed Spaces © 2010; Structure of Solutions of Variational Problems © 2013; Turnpike Properties in the Calculus of Variations and Optimal Control © 2006. Preface 1. Introduction 2. Well posedness of Optimal Control Problems 3. Well posedness and Porosity 4. Well posedness of Nonconvex Variational Problems 5. Gerenic Well posedness result 6. Nonoccurrence of the Lavrentiev Phenomenon for Variational Problems 7. Nonoccurrence of the Lavrentiev Phenomenon in Optimal Control 8. Generic Nonoccurrence of the Lavrentiev phenomenon 9. Infinite Dimensional Linear Control Problems 10. Uniform Boundedness of Approximate Solutions of Variational Problems 11. The Turnpike Property for Approximate Solutions 12. A Turnpike Result For Optimal Control Systems. References Index.