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Recent Developments in Nonlocal Theory

Ed. by Palatucci, Giampiero / Kuusi, Tuomo

DE GRUYTER OPEN
    Open Access
    eBook (EPUB)
    Publication Date:
    2017
    To be published:
    December 2017
    ISBN
    978-3-11-057203-2
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    Overview

    Aims and Scope

    This edited volume aims at giving an overview of recent advances in the theory and applications of Partial Differential Equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability.
    After being investigated firstly in Potential Theory and Harmonic Analysis, fractional operators defined via singular integral are nowadays riveting great attention in different research fields related to Partial Differential Equations with nonlocal terms, since they naturally arise in many different contexts, as for instance, dislocations in crystals, nonlocal minimal surfaces, the obstacle problem, the fractional Yamabe problem, and many others.
    Much progress has been made during the last years, and this edited volume presents a valuable update to a wide community interested in these topics.

    List of contributors
    Claudia Bucur, Zhen-Qing Chen, Francesca Da Lio, Donatella Danielli, Serena Dipierro, Rupert L. Frank, Maria del Mar Gonzalez, Moritz Kassmann, Tuomo Kuusi, Giuseppe Mingione, Giovanni Molica Bisci, Stefania Patrizi, Xavier Ros-Oton, Sandro Salsa, Yannick Sire, Enrico Valdinoci, Xicheng Zhang.

    Details

    Approx. 450 pages
    DE GRUYTER OPEN
    Language:
    English
    Type of Publication:
    Monograph

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    Giampiero Palatucci, University of Parma, Italy; Tuomo Kuusi, Aalto University, Finland.

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