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Spectral asymptotics of nonlinear elliptic two-parameter problems

✍ Scribed by Tetsutaro Shibata


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
125 KB
Volume
43
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES


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

On Spectral Asymptotics for Nonlinear St
✍ Tetsutaro Shibata 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 173 KB

By investigating the asymptotic properties of the eigenfunctions for a general class of nonlinear Sturm᎐Liouville problems, we shall establish a formula for spectral asymptotics.