Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems
In this paper the author considers the nonlinear Sturm-Liouville problem \(-u''(x) = f(u(x)) - \mu u(x)\), \(u(0) = u(1)\), \(f\) odd and \(C^1\), \(\mu > \pi^2\). Under some growth conditions he shows that an asymptotic formula previously obtained for the pure power case [Forum Math. 7, 207-224 (1995; Zbl 0818.34016)] holds also in this case.
scientific article; zbMATH DE number 831609