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.
Reihe
Sprache
Verlagsort
Zielgruppe
Illustrationen
8
8 s/w Abbildungen
8 b/w ill.
Dateigröße
ISBN-13
978-3-11-053743-7 (9783110537437)
Schweitzer Klassifikation
Lucio Damascelli, University of Rome "Tor Vergata", Italy; Filomena Pacella, University of Rome "La Sapienza", Italy
