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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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📜 SIMILAR VOLUMES


Asymptotic profiles of variational eigen
✍ Tetsutaro Shibata 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 132 KB 👁 2 views

## 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

The effect of the variational framework
✍ Tetsutaro Shibata 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

## 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