03672nam 22004575 450 99630908390331620210114164541.03-11-057156-010.1515/9783110571561(CKB)4100000003666436(DE-B1597)488964(OCoLC)1032685254(DE-B1597)9783110571561(MiAaPQ)EBC5494981(Au-PeEL)EBL5494981(OCoLC)1050974484(EXLCZ)99410000000366643620190615d2018 fg engur|||||||||||txtrdacontentcrdamediacrrdacarrierRecent Developments in Nonlocal Theory /Giampiero Palatucci, Tuomo KuusiWarsaw ;Berlin : De Gruyter Open Poland, [2018]©20171 online resource3-11-057155-2 Frontmatter -- Contents -- Preface -- Essentials of Nonlocal Operators / Bucur, Claudia -- Heat Kernels for Non-symmetric Non-local Operators / Chen, Zhen-Qing / Zhang, Xicheng -- Fractional Harmonic Maps / Da Lio, Francesca -- Obstacle Problems Involving the Fractional Laplacian / Danielli, Donatella / Salsa, Sandro -- Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / Dipierro, Serena / Valdinoci, Enrico -- Eigenvalue Bounds for the Fractional Laplacian: A Review / Frank, Rupert L. -- Recent Progress on the Fractional Laplacian in Conformal Geometry / González, María del Mar -- Jump Processes and Nonlocal Operators / Kassmann, Moritz -- Regularity Issues Involving the Fractional p-Laplacian / Kuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- Boundary Regularity, Pohozaev Identities and Nonexistence Results / Ros-Oton, Xavier -- Variational and Topological Methods for Nonlocal Fractional Periodic Equations / Molica Bisci, Giovanni -- Change of Scales for Crystal Dislocation Dynamics / Patrizi, StefaniaThis 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 contributorsClaudia 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.MATHEMATICS / Mathematical AnalysisbisacshElectronic books.MATHEMATICS / Mathematical Analysis.Kuusi Tuomo, Palatucci Giampiero, DE-B1597DE-B1597BOOK996309083903316Recent Developments in Nonlocal Theory2290455UNISA