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On the Fredholm alternative for nonlinear functional equations in Banach spaces

Author: Peter Hess
Journal: Proc. Amer. Math. Soc. 33 (1972), 55-61
MSC: Primary 47H15
MathSciNet review: 0301585
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Abstract: The well-known Fredholm alternative theorem for compact linear operators is carried over to a class of noncompact, asymptotically linear mappings of monotone type of a real reflexive Banach space into its dual. An application to a nonlinear elliptic boundary value problem is given.

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Keywords: Nonlinear mapping, mapping of monotone type, real reflexive Banach space, asymptotically linear operator, Fredholm alternative, linear Fredholm operator, nonlinear elliptic boundary value problem
Article copyright: © Copyright 1972 American Mathematical Society

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