Morse Index of Solutions of Nonlinear Elliptic Equations

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 se...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Damascelli, Lucio, Pacella, Filomena
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Berlin ; Boston De Gruyter [2019]
Zusammenfassung:
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
Umfang:
1 online resource (XV, 254 p.)
ISBN:
9783110538243
DOI:
10.1515/9783110538243
Schlagworte:
MATHEMATICS / Differential Equations / Partial
Bezugswerke:
Links: