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Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators

โœ Scribed by P.M Fitzpatrick; W.V Petryshyn


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
708 KB
Volume
22
Category
Article
ISSN
0022-0396

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Nonlinear Fredholm Operators with Noncom
โœ Patrick J Rabier ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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