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.
- ISBN10 3110538245
- ISBN13 9783110538243
- Publish Date 8 July 2019
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 269
- Language English
- URL https://degruyter.com/isbn/9783110538243