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Normalized Eigenvectors for Nonlinear Abstract and Elliptic Operators

✍ Scribed by Athanassios G. Kartsatos; Igor V. Skrypnik


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
226 KB
Volume
155
Category
Article
ISSN
0022-0396

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Nonlinear Fredholm Operators with Noncom
✍ Patrick J Rabier πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 202 KB

Under suitable conditions, an equation F(x)=y between Banach spaces involving a nonlinear Fredholm mapping F of nonnegative index is shown to have a noncompact and hence infinite set of solutions for almost every y for which the equation is solvable. The proof of this nonuniqueness (but not existenc