Estimates on the eigenvalues for some nonlinear ordinary differential operators. (English) Zbl 0689.34019

Chiappinelli, Raffaele

Commentat. Math. Univ. Carol. 30, No. 3, 441-446 (1989).

Summary: We obtain some detailed information about the location of the eigenvalues for a class of nonlinear Sturm-Liouville operators.

MSC:

34L99	Ordinary differential operators
34A34	Nonlinear ordinary differential equations and systems
34B15	Nonlinear boundary value problems for ordinary differential equations
47E05	General theory of ordinary differential operators
58C40	Spectral theory; eigenvalue problems on manifolds

Keywords:

selfadjoint operators; Liusternik-Schnirelmann theory; Courant’s variational principle; eigenvalues; nonlinear Sturm-Liouville operators