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Thomas Runst

    Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations
    • The series focuses on publishing high-level monographs that encompass the full range of current nonlinear analysis and its applications across various fields, including optimization, control theory, systems theory, mechanics, and engineering. A key aim is to provide the professional community with comprehensive expositions of significant results and foundational methods essential to both the theory and practice of nonlinear analysis. Contributions that exist at the intersection of nonlinear analysis and related disciplines, which encourage further research in these areas, are especially encouraged. The editorial team includes Editor-in-Chief Jürgen Appell from Würzburg, Germany, along with Honorary and Advisory Editors such as Catherine Bandle, Alain Bensoussan, Avner Friedman, Umberto Mosco, Louis Nirenberg, and Alfonso Vignoli. The Editorial Board features members from various countries, including Manuel del Pino, Mikio Kato, Wojciech Kryszewski, Vicenţiu D. Rădulescu, and Simeon Reich. Proposals for new titles are welcomed, with upcoming works planned on topics such as the Morse Index of Solutions of Nonlinear Elliptic Equations, Critical Parabolic-Type Problems, and Periodic Differential Equations, among others.

      Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations