Bibliography
Amann, H.: Multiple positive fixed points of asymptotically linear maps. J. functional Anal.,17, 174–213 (1974)
Amann, H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review, to appear
Amann, H.: Supersolutions, monotone iterations, and stability. J. diff. Equations21, 363–377 (1976)
Amann, H., Laetsch, T.: Positive solutions of convex nonlinear eigenvalue problems. Indiana Univ. Math. J.25, 259–270 (1976)
Ambrosetti, A., Prodi, G.: On the inversion of some differentiable mappings with singularities between Banach spaces. Ann. Mat. pura appl., IV. Ser.93, 231–247 (1972)
Courant, R., Hilbert, D.: Methods of Mathematical Physics, Vol. I, New York: Interscience 1953
Crandall, M.G., Rabinowitz, P.H.: Bifurcation from simple eigenvalues. J. functional Analysis,8, 321–340 (1971)
Krein, M.G., Rutman, M.A.: Linear operators leaving invariant a cone in a Banach space. Amer. Math. Soc., Translat., II. Ser.10, 199–325 (1962)
Lang, S.: Analysis II. Reading. Addison-Wesley 1967
Lang, S.: Introduction to Differentiable Manifolds. New York: Interscience 1967
Nirenberg, L.: Topics in Nonlinear Functional Analysis. New York: Courant Institute Lecture Notes 1974
Schwartz, J.T.: Nonlinear Functional Analysis. New York: Gordon and Breach 1969
Yosida, K.: Functional Analysis. Berlin-Heidelberg-New York: Springer 1965
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Amann, H. Nonlinear eigenvalue problems having precisely two solutions. Math Z 150, 27–37 (1976). https://doi.org/10.1007/BF01213882
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01213882