Morse Index of Solutions of Nonlinear Elliptic Equations

1. Auflage 2024
ISBN: 978-3-11-053732-1
Verlag: De Gruyter

Buch, Englisch, Band 30, 254 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 648 g

Reihe: De Gruyter Series in Nonlinear Analysis and 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.

Zielgruppe

Reseachers and graduate students in nonlinear analysis and partia

Autoren/Hrsg.

Damascelli, Lucio

Pacella, Filomena

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• 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