Sobolev spaces of fractional order, Nemytskij operators, and nonlinear partial differential equations / Thomas Runst, Winfried Sickel.

Format:

Book

Author/Creator:

Runst, Thomas, 1952-

Contributor:

Sickel, Winfried, 1954-

Series:

De Gruyter Series in Nonlinear Analysis and Applications

De Gruyter series in nonlinear analysis and applications, 0941-813X ; 3

De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 3

Language:

English

Subjects (All):

Sobolev spaces.

Differential equations, Elliptic.

Boundary value problems.

Physical Description:

1 online resource (557 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : Walter de Gruyter, 1996.

Language Note:

English

Summary:

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 J rgen Appell, W rzburg, 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, Toruń, Poland Vicenţiu D. Rădulescu, Krak w, Poland Simeon Reich, Haifa, Israel Please submit book proposals to J rgen 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)

Contents:

Frontmatter

Chapter 1 Introduction

Chapter 2 Function spaces of Besov-Triebel-Lizorkin type

Chapter 3 Regular elliptic boundary value problems

Chapter 4 Pointwise multiplication

Chapter 5 Nemytskij operators in spaces of Besov-Triebel-Lizorkin type

Chapter 6 Applications to semilinear elliptic boundary problems

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [525]-543) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110812411

311081241X

OCLC:

979634542