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.
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