Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations (De Gruyter Series in Nonlinear Analysis and Applications, 3)

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
Jürgen Appell, Würzburg, Germany

Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland
Alain Bensoussan, Richardson, Texas, USA
Avner Friedman, Columbus, Ohio, USA
Umberto Mosco, Worcester, Massachusetts, USA
Louis Nirenberg, New York, USA
Alfonso Vignoli, Rome, Italy

Editorial Board
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan
Wojciech Kryszewski, Torun, Poland
Vicentiu D. Radulescu, Kraków, Poland
Simeon Reich, Haifa, Israel

Please submit book proposals to Jürgen Appell.

Titles in planning include

Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)
Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019)
Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)
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)

"The book is again an impressive proof of the incredible scientific activity of the Jena school, contributing to functional analysis, operator theory, nonlinear analysis, and differential equations. It will certainly become a standard reference for all specialists working in one of these fields, and it should be found at least in every math library." Zentralblatt für Mathematik