Damascelli / Pacella Morse Index of Solutions of Nonlinear Elliptic Equations

1. Auflage 2019
ISBN: 978-3-11-053743-7
Verlag: De Gruyter
Format: EPUB
Kopierschutz: 6 - ePub Watermark

E-Book, Englisch, 269 Seiten

Reihe: ISSN

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.

Autoren/Hrsg.

Damascelli, Lucio

Pacella, Filomena

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

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