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Damascelli, Lucio / Pacella, Filomena

Morse Index of Solutions of Nonlinear Elliptic Equations

Series:De Gruyter Series in Nonlinear Analysis and Applications 30

    99,95 € / $114.99 / £91.00*

    eBook (EPUB)
    Publication Date:
    July 2019
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    • 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.

    Aims and Scope

    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.


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

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