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Computation of Morse decompositions for semilinear elliptic PDEs

โœ Scribed by Michael W. Smiley; Changbum Chun


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
300 KB
Volume
17
Category
Article
ISSN
0749-159X

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Nodal Sets and Morse Indices of Solution
โœ Xue-Feng Yang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 417 KB

In this paper, we develop a Sturm Liouville type theory for the nodal sets and Morse indices of solutions of super-linear elliptic PDEs with Dirichlet boundary condition. It shows that there are some relationships between analytic properties (e.g., L p -norm, vanishing order of the nodal point, and