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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.
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Morse index of solutions of nonlinear elliptic equations, Lucio Damascelli
- Language
- Released
- 2019
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- Title
- Morse index of solutions of nonlinear elliptic equations
- Language
- English
- Authors
- Lucio Damascelli
- Publisher
- De Gruyter
- Publisher
- 2019
- Format
- Hardcover
- ISBN10
- 311053732X
- ISBN13
- 9783110537321
- Category
- Mathematics
- Description
- 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.