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References
Agmon, S.: Lectures on elliptic boundary-value problems. Princeton: Van Nostrand 1965
Amann, H.: Saddle points and multiple solutions of differential equations. Math. Z.169, 127–166 (1979)
Amann, H., Zehnder, D.: Non-trivial solutions for a class of non-resonance problems and applications to non-linear differential equations, Ann. Scuola Norm. Sup. Pisa (to appear)
Ambrosetti, A., Prodi, G.: On the inversion of some differential mappings with singularities between Banach spaces. Ann. Mat. Pura Appl.93, 231–246 (1972)
Berestycki, H.: On some non-linear Sturm-Liouville problems. J. Differential Equations26, 375–390 (1977)
Conley, C.: Isolated invariant sets and the Morse index, CBMS regional conference series in mathematics no. 38. Providence: Amer. Math. Soc. 1978
Dancer, E.N.: On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Proc. Royal Soc. Edinburgh76A, 283–300 (1977)
Dancer, E.N.: Boundary-value problems for weakly non-linear ordinary differential equations. Bull. Austral. Math. Soc.15, 321–328 (1976)
Dancer, E.N.: On the structure of solutions of non-linear eigenvalue problems. Indiana Univ. Math. J.23, 1069–1076 (1974)
Dancer, E.N.: On the ranges of certain weakly non-linear elliptic partial differential equations. J. Math. Pures et Appl.57, 351–366 (1978)
Dancer, E.N.: On the existence of zeros of perturbed operators. Preprint
Dold, A.: Lectures on algebraic topology. Berlin Heidelberg New York: Springer 1970
Dunford, N., Schwartz, J.: Linear Operators Part I. New York: Interscience 1958
Fučik, S.: Remark on a result of A. Ambrosetti and G. Prodi. Bull. Unione Mat. Ital.11, 259–267 (1975)
Gromoll, D., Meyer, W.: On differentiable functions with isolated critical points. Topology8, 361–369 (1969)
Hu, S-T.: Theory of retracts. Detroit: Wayne State Univ. Press 1965
Newman, M.H.A.: Elements of the topology of plane sets of points. Cambridge: Cambridge Univ. Press 1939
Nussbaum, R.: Some generalizations of the Borsuk-Ulam theorem. Proc. London Math. Soc.35, 136–158 (1977)
Podolak, E.: On the range of operator equations with asymptotically non-linear term. Indiana Univ. Math. J.25, 1127–1137 (1976)
Rothe, E.: A relation between the type numbers of a critical point and the index of the corresponding field of gradient vectors. Math. Nachr.4, 12–27 (1951)
Spanier, E.: Algebraic topology. New York: McGraw-Hill 1966
Turner, R.: Non linear eigenvalue problems with non local operators. Comm. Pure Applied Math.23, 963–972 (1970)
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Dancer, E.N. On the existence of solutions of certain asymptotically homogeneous problems. Math Z 177, 33–48 (1981). https://doi.org/10.1007/BF01214337
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DOI: https://doi.org/10.1007/BF01214337