Some global results for nonlinear eigenvalue problems
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Krasnoselski, 1965
Leray, 1934, Topologie et équations fonctionelles, Ann. Sci. École Norm., 51, 45, 10.24033/asens.836
P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second order ordinary differential equations, Comm. Pure Appl. Math., to appear.
M. G. Crandall and P. H. Rabinowitz, Nonlinear Sturm-Liouville eigenvalue problems and topological degree, J. Math. Mech., to appear.
1969
Whyburn, 1958
L. Bauer, E. L. Riess, and H. B. Keller, “Antisymmetric Buckling of Hollow Spheres and Hemispheres,” preprint.
M. G. Crandall and P. H. Rabinowitz, Bifurcation at simple eigenvalues, J. Functional Analysis, to appear.
Gantmacher, 1960
Krein, 1950, Linear operators which leave a cone in Banach space invariant, Amer. Math. Soc. Trans. Ser. 1, 10
Ladyzhenskaya, 1968
Courant, 1962, Vol. II
Keller, 1967, Some positone problems suggested by nonlinear heat generation, J. Math. Mech., 16, 1361
Rabinowitz, 1967, Periodic solutions of nonlinear hyperbolic partial differential equations, Comm. Pure Appl. Math., 20, 145, 10.1002/cpa.3160200105
Nirenberg, 1959, On elliptic partial differential equations, Ann. Scuola, Norm. Super. Pisa Ser. 3, 13, 1
Bers, 1964
Moser, 1966, A rapidly convergent iteration method and nonlinear partial differential equations, Ann. Scuola, Norm. Super. Pisa Ser. 3, 20, 265
Karlin, 1964, The existence of eigenvalues for integral operators, Trans. Amer. Math. Soc., 113, 1, 10.1090/S0002-9947-1964-0169090-0
Parter, 1969, Nonlinear Eigenvalue Problems for Some Fourth-Order Equations: II. Fixed Point Methods, 1