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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
- Jazyk
- Rok vydania
- 2019
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- Titul
- Morse index of solutions of nonlinear elliptic equations
- Jazyk
- anglicky
- Autori
- Lucio Damascelli
- Vydavateľ
- De Gruyter
- Vydavateľ
- 2019
- Väzba
- pevná
- ISBN10
- 311053732X
- ISBN13
- 9783110537321
- Kategórie
- Matematika
- Anotácia
- 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.