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Elliptic Eigenvalue Problems with Large Drift and Applications to Nonlinear Propagation Phenomena

✍ Scribed by Henri Berestycki; François Hamel; Nikolai Nadirashvili


Book ID
105902264
Publisher
Springer
Year
2004
Tongue
English
Weight
281 KB
Volume
253
Category
Article
ISSN
0010-3616

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Nonlinear Fredholm Operators with Noncom
✍ Patrick J Rabier 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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