Morse Index of Solutions of Nonlinear Elliptic Equations

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Morse Index of Solutions of Nonlinear...

Morse Index of Solutions of Nonlinear Elliptic Equations

Name: Morse Index of Solutions of Nonlinear Elliptic Equations
ISBN: 9783110538243

Lucio Damascelli, Filomena Pacella

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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.

An in-depth monograph on Morse index techniques for nonlinear elliptic equations
Discusses the connections of the Morse index with the maximum principle
Studies several qualitative properties of solutions like well-posedness, symmetry, etc.

عام:

2019

الناشر:

De Gruyter

اللغة:

english

الصفحات:

269

ISBN 10:

3110538245

ISBN 13:

9783110538243