Morse index of solutions of nonlinear elliptic equations
Author(s)
Bibliographic Information
Morse index of solutions of nonlinear elliptic equations
(De Gruyter series in nonlinear analysis and applications, 30)
De Gruyter, 2019
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p.[245]-254) and index
Description and Table of Contents
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 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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