Optimal Transport

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Editor-in-Chief
Jurgen Appell, Wurzburg, Germany

Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland

Jiguang Bao, Beijing, China

Avner Friedman, Columbus, Ohio, USA
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan

Guozhen Lu, Storrs, CT, USA
Wojciech Kryszewski, Torun, Poland
Vicentiu D. Radulescu, Krakow, Poland
Simeon Reich, Haifa, Israel

Please submit book proposals to Jurgen Appell.

Titles in planning include
Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

This book focuses on problems at the interplay between the theory of partitions and optimal transport with a view toward applications. Topics covered include problems related to stable marriages and stable partitions, multipartitions, optimal transport for measures and optimal partitions, and finally cooperative and noncooperative partitions. All concepts presented are illustrated by examples from game theory, economics, and learning.