Recent Developments in Nonlocal Theory / / Giampiero Palatucci, Tuomo Kuusi.
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 different...
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| Place / Publishing House: | Warsaw ;, Berlin : : De Gruyter Open Poland, , [2018] ©2017 |
| Year of Publication: | 2018 |
| Language: | English |
| Physical Description: | 1 online resource |
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Table of Contents:
- 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, Stefania