Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems (Q1905433)
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scientific article; zbMATH DE number 831609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems |
scientific article; zbMATH DE number 831609 |
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Global \(L^ 2\)-bifurcation of nonlinear Sturm-Liouville problems (English)
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10 January 1996
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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.
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nonlinear Sturm-Liouville problem
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asymptotic formula
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