Some global results for nonlinear eigenvalue problems

Journal of Functional Analysis - Tập 7 Số 3 - Trang 487-513 - 1971
Paul H. Rabinowitz1
1University of Wisconsin, Madison, Wisconsin 53706, U.S.A.

Tóm tắt

Từ khóa


Tài liệu tham khảo

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

R. Turner, Nonlinear eigenvalue problems with nonlocal operators, J. Math. Mech., to appear.

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