Morse Index of Solutions of Nonlinear Elliptic Equations

Lucio Damascelli, Filomena Pacella

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English

De Gruyter
08 July 2019

Calculus & mathematical analysis; Differential calculus & equations; Differential & Riemannian geometry; Topology

Series: De Gruyter Series in Nonlinear Analysis & Applications

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.

By: Lucio Damascelli, Filomena Pacella
Imprint: De Gruyter
Country of Publication: Germany
Volume: 30
Dimensions: Height: 240mm, Width: 170mm, Spine: 20mm
Weight: 603g
ISBN: 9783110537321
ISBN 10: 311053732X
Series: De Gruyter Series in Nonlinear Analysis & Applications
Pages: 269
Publication Date: 08 July 2019
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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