LEADER 03674nam 22004575 450 001 9910272346403321 005 20210114164541.0 010 $a3-11-057156-0 024 7 $a10.1515/9783110571561 035 $a(CKB)4100000003666436 035 $a(DE-B1597)488964 035 $a(OCoLC)1032685254 035 $a(DE-B1597)9783110571561 035 $a(MiAaPQ)EBC5494981 035 $a(Au-PeEL)EBL5494981 035 $a(OCoLC)1050974484 035 $a(EXLCZ)994100000003666436 100 $a20190615d2018 fg 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRecent Developments in Nonlocal Theory /$fGiampiero Palatucci, Tuomo Kuusi 210 1$aWarsaw ;$aBerlin : $cDe Gruyter Open Poland, $d[2018] 210 4$d©2017 215 $a1 online resource 311 $a3-11-057155-2 327 $tFrontmatter -- $tContents -- $tPreface -- $tEssentials of Nonlocal Operators / $rBucur, Claudia -- $tHeat Kernels for Non-symmetric Non-local Operators / $rChen, Zhen-Qing / Zhang, Xicheng -- $tFractional Harmonic Maps / $rDa Lio, Francesca -- $tObstacle Problems Involving the Fractional Laplacian / $rDanielli, Donatella / Salsa, Sandro -- $tNonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness / $rDipierro, Serena / Valdinoci, Enrico -- $tEigenvalue Bounds for the Fractional Laplacian: A Review / $rFrank, Rupert L. -- $tRecent Progress on the Fractional Laplacian in Conformal Geometry / $rGonzález, María del Mar -- $tJump Processes and Nonlocal Operators / $rKassmann, Moritz -- $tRegularity Issues Involving the Fractional p-Laplacian / $rKuusi, Tuomo / Mingione, Giuseppe / Sire, Yannick -- $tBoundary Regularity, Pohozaev Identities and Nonexistence Results / $rRos-Oton, Xavier -- $tVariational and Topological Methods for Nonlocal Fractional Periodic Equations / $rMolica Bisci, Giovanni -- $tChange of Scales for Crystal Dislocation Dynamics / $rPatrizi, Stefania 330 $aThis 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. 606 $aMATHEMATICS / Mathematical Analysis$2bisacsh 608 $aElectronic books. 615 7$aMATHEMATICS / Mathematical Analysis. 702 $aKuusi$b Tuomo, 702 $aPalatucci$b Giampiero, 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910272346403321 996 $aRecent Developments in Nonlocal Theory$92290455 997 $aUNINA