Entire Solutions of Semilinear Elliptic Equations

I. Kuzin, S. Pohozaev (auth.)3764353236, 9783764353230, 0817653236

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.

Table of contents :
Front Matter….Pages i-vi
Introduction….Pages 1-4
Classical Variational Method….Pages 5-37
Variational Methods for Eigenvalue Problems….Pages 39-81
Special Variational Methods….Pages 83-128
Radial Solutions: The ODE Method….Pages 129-157
Other Methods….Pages 159-222
Back Matter….Pages 223-250