Chipot, M; Xie, Y (2004). On the asymptotic behaviour of the p-Laplace equation in cylinders becoming unbounded. In: Kenmochi, N; Ôtani, M; Zheng, S. Nonlinear partial differential equations and their applications. Tokyo: Gakko Tosho, 16-27.
In the rectangle Ωℓ = (−ℓ, ℓ) × (−1, 1), we consider the weak solution uℓ to the p-Laplace equation for a right hand side depending on x2 only. We show that, for any ℓ0 > 0, uℓ → u∞ in W 1,p(Ωℓ 0 ) when ℓ → ∞, where u∞ is the solution of the p-Laplace equation on the section.
In the rectangle Ωℓ = (−ℓ, ℓ) × (−1, 1), we consider the weak solution uℓ to the p-Laplace equation for a right hand side depending on x2 only. We show that, for any ℓ0 > 0, uℓ → u∞ in W 1,p(Ωℓ 0 ) when ℓ → ∞, where u∞ is the solution of the p-Laplace equation on the section.
| Other titles: | Proceedings of the international conference on nonlinear partial differential equations and their applications, Shanghai, China, November 23–27, 2003. |
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| Item Type: | Book Section, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | p-Laplace equation, W 1,p and L ∞ convergence, asymptotic behaviour |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 16 Dec 2009 13:04 |
| Last Modified: | 26 Jun 2022 22:30 |
| Publisher: | Gakko Tosho |
| Series Name: | GAKUTO International Series. Mathematical Sciences and Applications. |
| Number: | 20 |
| ISBN: | 4-7625-0429-7 |
| OA Status: | Green |
| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1080.35022 |
Chipot, M