Semilinear Elliptic Equations: Classical and Modern Theories (De Gruyter Series in Nonlinear Analysis and Applications Book 35)

This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike. * An authoritative treatise on semilinear elliptic equations * Covers all classical and modern developments in the field, including recent ones * Of interest to researchers and graduate students working in PDE's and applications

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

Editorial Board
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan
Wojciech Kryszewski, Toru?, Poland
Vicen?iu D. R?dulescu, Kraków, Poland
Simeon Reich, Haifa, Israel

Please submit book proposals to Jürgen 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)

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 Editorial Board Manuel Del Pino, Bath, Uk, And Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please Submit Book Proposals To Jürgen 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) 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 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, Toruń, Poland Vicenţiu D. Rădulescu, Kraków, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jürgen 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 authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike.