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, Band 30, 269 Seiten

Reihe: De Gruyter Series in Nonlinear Analysis and ApplicationsISSN

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.

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

Autoren/Hrsg.

Damascelli, Lucio

Pacella, Filomena

Fachgebiete

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

Über Autor(innen)

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