Morse Index of Solutions of Nonlinear Elliptic Equations / / Lucio Damascelli, Filomena Pacella.
This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in se...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
30 |
| Online Access: | |
| Physical Description: | 1 online resource (XV, 254 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Contents
- Notation
- 1. Preliminaries
- 2. Introduction to Morse theory
- 3. Morse theory for semilinear elliptic equations
- 4. Morse index of radial solutions of Lane–Emden problems
- 5. Bifurcation from radial solutions
- 6. Morse index and symmetry for semilinear elliptic equations in bounded domains
- 7. Morse index and symmetry for elliptic systems in bounded domains
- 8. Some results in unbounded domains
- Bibliography
- Index