Damascelli L., Pacella F. Morse Index of Solutions of Nonlinear Elliptic Equations

De Gruyter, 2019. — 276 p. — (Nonlinear Analysis and Applications, 30). — ISBN: 978-3-11-053824-3.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.True PDF