Variational Analysis in Sobolev and Bv Spaces

'This book is a solid treatise on the (contemporary) calculus of variations. The material presented is quite extensive and slightly nontraditional. For example, the authors include a chapter on convex duality and subdifferential calculus. Often, books on the modern calculus of variations and books devoted to convex optimization have little if any overlap. I believe readers will appreciate the nontrivial overlap in the present text.' Rustum Choksi, Associate Professor of Applied and Computational Mathematics, Simon Fraser University 'The second part has some discussion of more advanced background material (such as BV and SBV functions) needed for work on many modern variational problems, as well as discussions of recent results on a variety of problems, including variational approaches to image segmentation, fracture mechanics, and shape optimization.' Robert Jerrard, Professor of Mathematics, University of Toronto