Bifurcation from simple eigenvalues

Journal of Functional Analysis - Tập 8 Số 2 - Trang 321-340 - 1971
Michael G. Crandall1, Paul H. Rabinowitz2
1University of California, Los Angeles, 90024 U.S.A.
2University of Wisconsin, Madison, 53706 U.S.A.

Tóm tắt

Từ khóa


Tài liệu tham khảo

Agmon, 1959, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math., 12, 623, 10.1002/cpa.3160120405

Berger, 1969, A bifurcation theory for nonlinear elliptic partial differential equations and related systems, 113

Crandall, 1970, Nonlinear Sturm-Liouville eigenvalue problems and topological degree, J. Math. Mech., 19, 1083

Dieudonné, 1960

Fife, 1970, The Bénard problem for general fluid dynamical equations and remarks on the Boussinesq approximation, Indiana U. Math. J., 20, 303, 10.1512/iumj.1971.20.20026

Keller, 1970, Nonlinear Bifurcation, J. Differential Equations, 7, 417, 10.1016/0022-0396(70)90090-2

Krasnoselskii, 1964

Rabinowitz, 1968, Existence and nonuniqueness of rectangular solutions of the Bénard problem, Arch. Rational Mech. Anal., 29, 32, 10.1007/BF00256457

Rabinowitz, 1971, Some global results for nonlinear eigenvalue problems, J. Func. Anal., 7, 487, 10.1016/0022-1236(71)90030-9

P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second-order ordinary differential equations, Comm. Pure Appl. Math., to appear.

Recken, 1970, A general theorem on bifurcation and its application to the Hartree equation of the Helium atom, 10.1063/1.1665418

D. H. Sattinger, Stability of bifurcating solutions by Leray-Schauder degree, Archive Rat. Mech. Anal., to appear