ENGLISH

Morse Index of Solutions of Nonlinear Elliptic Equations (De Gruyter Series in Nonlinear Analysis and Applications)

By Lucio Damascelli

Book information

Publisher
de Gruyter
Year
2019
ISBN
311053732X, 9783110537321
Language
english
Format
PDF
Filesize
2 MB (1741409 bytes)
Series
De Gruyter Series in Nonlinear Analysis and Applications (Book 30)
Pages
274\276
Time added
2020-07-28 14:41:04
Mathematics;Calculus; Differential equations

Description

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 import Cover De Gruyter Series in Nonlinear Analysis and Applications Morse Index of Solutions of Nonlinear Elliptic Equations © 2019 Preface Contents Notation 1 Preliminaries 2 Introduction to Morse theory 3 Morse theory for semilinear elliptic equations 4 Morse index of radial solutions of Lane–Emden problems 5 Bifurcation from radial solutions 6 Morse index and symmetry for semilinear elliptic equations in bounded domains 7 Morse index and symmetry for elliptic systems in bounded domains 8 Some results in unbounded domains Bibliography Index

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