Further remark on a theorem by E. M. Landesman and A. C. Lazer

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1. M. S. BERGER M. SCHECHTER, On the solvability of semilinear operator equations and elliptic boundary value problems, Bull. Amer. Math. Soc. 78 (1972), 741-745. (1972) MR0303374
2. R. COURANT D. HILBERT, Methods of Mathematical Physics, Vol. 1, New York, 1953. (1953) 
3. S. FUČÍK, Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations, Čas. pěst. mat. 96 (1971), 371-390. (1971) MR0326502
4. [4J S. FUČÍK, Nonlinear equations with noninvertible linear part, Czechoslovak Math. Journal (to appear). MR0348568
5. S. FUČÍK M. KUČERA J. NEČAS, Ranges of nonlinear asymptotically linear operators, J. Diff. Equations (to appear). MR0372696
6. S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK, Spectral Analysis of Nonlinear Operators, Lecture Notes in Mathematics No 346, Springer Verlag 1973. (1973) MR0467421
7. P. HESS, On a theorem by Landesman and Lazer, Indiana Univ. Math. Journal (to appear). Zbl0259.35036MR0352687
8. M. A. KRASNOSELSKIJ, Positive Solutions of Operator's Equations, (Russian), Moscow 1962. (1962) 
9. E. M. LANDESMAN A. C. LAZER, Nonlinear perturbations of linear boundary value problems at resonance, Journ. Math. Mech. 19 (1970), 609-623. (1970) MR0267269
10. J. NEČAS, Fredholm alternative for nonlinear operators with application to partial differential equations and integral equations, Čas. pěst. mat. 97 (1972), 65-71. (1972) MR0308882
11. J. NEČAS, On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1973), 63-72. (1973) MR0318995
12. L. NIRENBERG, An application of generalized degree to a class of nonlinear problems, Troisième Colloq. Anal. Fonct. Liège Centre Beige de Recherches Mathématiques, 1971, pp. 57-73. (1971) Zbl0317.35036MR0413207
13. L. NIRENBERG, Generalized degree and nonlinear problems, "Contributions to Nonlinear Analysis" edited by E. Zarantonello. Academic Press 1971, pp. 1-9. (1971) Zbl0267.47034MR0388188
14. M. SCHECHTER, A nonlinear elliptic boundary value problem, (to appear). Zbl0302.35044MR0369912
15. S. A. WILLIAMS, A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem, J. Diff. Equations 8 (1970), 580-586. (1970) Zbl0209.13003MR0267267

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