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Lecture Notes (Scuola Normale Superiore)

Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$

Authors: Dipierro, Serena, Medina, María, Valdinoci, Enrico

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  • Focuses on a nonlinear equation of nonlocal type

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About this book

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary.

The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introduction

    Pages 1-13

    Dipierro, Serena (et al.)

  • The problem studied in this monograph

    Pages 15-27

    Dipierro, Serena (et al.)

  • Functional analytical setting

    Pages 29-38

    Dipierro, Serena (et al.)

  • Existence of a minimal solution and proof of Theorem 2.2.2

    Pages 39-66

    Dipierro, Serena (et al.)

  • Regularity and positivity of the solution

    Pages 67-73

    Dipierro, Serena (et al.)

Buy this book

eBook 21,39 €
price for Spain (gross)
  • ISBN 978-88-7642-601-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 26,00 €
price for Spain (gross)
  • ISBN 978-88-7642-600-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Online orders shipping within 2-3 days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fractional Elliptic Problems with Critical Growth in the Whole of $\R^n$
Authors
Series Title
Lecture Notes (Scuola Normale Superiore)
Series Volume
15
Copyright
2017
Publisher
Edizioni della Normale
Copyright Holder
Scuola Normale Superiore Pisa
eBook ISBN
978-88-7642-601-8
DOI
10.1007/978-88-7642-601-8
Softcover ISBN
978-88-7642-600-1
Edition Number
1
Number of Pages
VIII, 155
Topics

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