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Entire Solutions of Semilinear Elliptic Equations

  • I. Kuzin
  • S. Pohozaev

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 33)

Table of contents

  1. Front Matter
    Pages i-vi
  2. I. Kuzin, S. Pohozaev
    Pages 1-4
  3. I. Kuzin, S. Pohozaev
    Pages 5-37
  4. I. Kuzin, S. Pohozaev
    Pages 39-81
  5. I. Kuzin, S. Pohozaev
    Pages 83-128
  6. I. Kuzin, S. Pohozaev
    Pages 129-157
  7. I. Kuzin, S. Pohozaev
    Pages 159-222
  8. Back Matter
    Pages 223-250

About this book

Introduction

Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method. Existence results for equations with supercritical growth and non-zero right-hand sides are given.
Readers of this exposition will be advanced students and researchers in mathematics, physics and other sciences who want to learn about specific methods to tackle problems involving semilinear elliptic equations.

Keywords

Finite Identity Invariant equation function mathematics theorem

Authors and affiliations

  • I. Kuzin
    • 1
  • S. Pohozaev
    • 1
  1. 1.Steklov Mathematical InsituteMoscowRussia

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