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  • © 2017

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

  • Focuses on a nonlinear equation of nonlocal type

Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 15)

Part of the book sub series: Lecture Notes (Scuola Normale Superiore) (LNSNS)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
  2. Introduction

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 1-13
  3. The problem studied in this monograph

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 15-27
  4. Functional analytical setting

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 29-38
  5. Existence of a minimal solution and proof of Theorem 2.2.2

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 39-66
  6. Regularity and positivity of the solution

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 67-73
  7. Existence of a second solution and proof of Theorem 2.2.4

    • Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 75-148
  8. Back Matter

    Pages 149-158

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access