Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems |
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| Authors: | Tetsutaro Shibata |
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| Affiliation: | (1) Department of Mathematics, Aichi Prefectural University, 3-28 Takada-cho, Mizuho-ku, 467 Nagoya, Japan |
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| Abstract: | The nonlinear two-parameter Sturm-Liouville problemu "+μg(u)=λf(u) is studied for μ, λ>0. By using Ljusternik-Schnirelman theory on the general level set developed by Zeidler, we shall show the existence of ann-th variational eigenvalue λ=λn(μ). Furthermore, for specialf andg, the asymptotic formula of λ1(μ)) as μ→∞ is established. |
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