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Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

  • Authors
  • Serena Dipierro
  • María Medina
  • Enrico Valdinoci

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

Also part of the Lecture Notes (Scuola Normale Superiore) book sub series (LNSNS, volume 15)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 1-13
  3. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 15-27
  4. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 29-38
  5. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 39-66
  6. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 67-73
  7. Serena Dipierro, María Medina, Enrico Valdinoci
    Pages 75-148
  8. Back Matter
    Pages 149-158

About this book

Introduction

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.

Keywords

Fractional equation critical problem concentration-compactness principle Mountain pass theorem regularity and positivity

Bibliographic information