Morse Index of Solutions of Nonlinear Elliptic Equations
Author | : Lucio Damascelli |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 269 |
Release | : 2019-07-08 |
ISBN-10 | : 9783110538243 |
ISBN-13 | : 3110538245 |
Rating | : 4/5 (43 Downloads) |
Download or read book Morse Index of Solutions of Nonlinear Elliptic Equations written by Lucio Damascelli and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.