## Communicated by B. Brosowski We consider the two-parameter non-linear Sturm-Liouville problems. By using the variational method on general level sets, the variational eigenvalues are obtained. The purpose of this paper is to study the properties of these variational eigenvalues with respect to
✦ LIBER ✦
Variational methods and asymptotic formula for two parameter nonlinear Sturm-Liouville problems
✍ Scribed by Tetsutaro Shibata
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 941 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We consider the nonlinear two–parameter problem __u__″(__x__) + __μu__(__x__)^__p__^ = __λu__(__x__)^__p__^, __u__(__x__) > 0, __x__ ∈ __I__ = (0, 1), __u__(0) = __u__(1) = 0, where 1 < __q__ < __p__ < 2__q__ + 3 and __λ__, __μ__ > 0 are parameters. We establish the three–term spect