On the Fredholm alternative for nonlinear functional equations in Banach spaces
Peter Heß · Proceedings of the American Mathematical Society · 1972
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.