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Morse Index of Solutions of Nonlinear Elliptic Equations

Morse Index of Solutions of Nonlinear Elliptic Equations

Hardcover

Series: de Gruyter Nonlinear Analysis and Applications, Book 30

General MathematicsGeometry

ISBN10: 311053732X
ISBN13: 9783110537321
Publisher: de Gruyter
Published: Jul 8 2019
Pages: 269
Weight: 1.30
Height: 0.80 Width: 6.90 Depth: 9.60
Language: English

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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General Mathematics