## Ranges of nonlinear asymptotically linear operators.(English)Zbl 0299.47035

### MSC:

 47J05 Equations involving nonlinear operators (general) 34B15 Nonlinear boundary value problems for ordinary differential equations 35J60 Nonlinear elliptic equations
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### References:

 [1] Bancroft, S; Hale, J.K; Sweet, D, Alternative problems for nonlinear functional equations, J. differential equations, 4, 40-56, (1968) · Zbl 0159.20001 [2] Cesari, L, Functional analysis and Galerkin’s method, Michigan math. J., 11, 385-414, (1964) · Zbl 0192.23702 [3] Fučík, S, Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations, Časopis Pěst. mat., 96, 371-390, (1971) · Zbl 0221.47042 [4] Kučera, M, Fredholm alternative for nonlinear operators, Comment. math. univ. carolinae, 11, 337-363, (1970) · Zbl 0198.18602 [5] Landesman, E.A; Lazer, A.C, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. math. mech., 19, 609-623, (1970) · Zbl 0193.39203 [6] Locker, J, An existence analysis for nonlinear equations in Hilbert space, Trans. amer. math. soc., 128, 403-413, (1967) · Zbl 0156.15802 [7] Nečas, J, LES Méthodes directes en théorie des équations elliptiques, (1967), Academia Prague · Zbl 1225.35003 [8] Nečas, J, Fredholm alternative for nonlinear operators with application to partial differential equations and integral equations, Časopis Pěst. mat., 97, 65-71, (1972) · Zbl 0234.47050 [9] Nečas, J, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. math. univ. carolinae, 14, 63-72, (1973) · Zbl 0257.47032 [10] Vajnberg, M.M, Variational methods for the study of nonlinear operators, (1964), Holden-Day San Francisco [11] Williams, S.A, A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem, J. differential equations, 8, 580-586, (1970) · Zbl 0209.13003
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