Morse Index of Solutions of Nonlinear Elliptic Equations

ISBN-13: 9783110537321 / Angielski / Twarda / 2019 / 269 str.

Lucio Damascelli;Filomena Pacella

Opis

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.

O autorze

Lucio Damascelli, University of Rome "Tor Vergata", Italy; Filomena Pacella, University of Rome "La Sapienza", Italy