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Morse Index of Solutions of Nonlinear Elliptic Equations (De Gruyter Series in Nonlinear Analysis and Applications, 30) - Hardcover

Buch 29 von 39: De Gruyter Series in Nonlinear Analysis and Applications

Damascelli, Lucio; Pacella, Filomena

 
9783110537321: Morse Index of Solutions of Nonlinear Elliptic Equations (De Gruyter Series in Nonlinear Analysis and Applications, 30)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

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

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