Fractional Laplacian, The

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A01=Pei Ma
A01=Wenxiong Chen
A01=Yan Li
Author_Pei Ma
Author_Wenxiong Chen
Author_Yan Li
Category=PBK
Category=PBKF
Category=PBKJ
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence
Fractional Laplacian
Liouville Theorems
Method of Moving Planes
Moving Spheres
Nonlocal Operators
Regularity
Symmetry

Product details

  • ISBN 9789813223998
  • Publication Date: 28 Jul 2020
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence.

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