Morse Index of Solutions of Nonlinear Elliptic Equations
| By: | Lucio Damascelli; Filomena Pacella |
| Publisher: | De Gruyter |
| Print ISBN: | 9783110537321 |
| eText ISBN: | 9783110537437 |
| Edition: | 1 |
| Copyright: | 2019 |
| Format: | Reflowable |
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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.