Morse Index of Solutions of Nonlinear Elliptic Equations / / Lucio Damascelli, Filomena Pacella.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
• VerfasserIn: Damascelli, Lucio,; Pacella, Filomena,
• 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
• Physical Description: 1 online resource (XV, 254 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110538243; 9783110762464; 9783110719567; 9783110647099; 9783110616859; 9783110610765; 9783110664232; 9783110610406; 9783110606362
• ISSN: 0941-813X
• DOI: 10.1515/9783110538243
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.