Morse Index of Solutions of Nonlinear Elliptic Equations
Lucio Damascelli and Filomena Pacella
Morse theory owes its name to the mathematician M. Morse who analyzed the rela-
tionship between the topology of a manifold and the number and the type of critical
points of a smooth function de%ned on it [180]. In some sense, it can be viewed as a
beautiful and natural extension of the principle which asserts that every continuous
function on a compact space has a minimum and a maximum point. The basic ideas
of Morse theory can be summarized by the following two statements.
tionship between the topology of a manifold and the number and the type of critical
points of a smooth function de%ned on it [180]. In some sense, it can be viewed as a
beautiful and natural extension of the principle which asserts that every continuous
function on a compact space has a minimum and a maximum point. The basic ideas
of Morse theory can be summarized by the following two statements.
類別:
體積:
30
年:
2019
出版商:
De Gruyter
語言:
english
頁數:
276
ISBN 10:
311053732X
ISBN 13:
9783110537321
系列:
De Gruyter Series in Nonlinear Analysis and Applications 30
文件:
PDF, 4.57 MB
IPFS:
,
english, 2019
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