Asymptotic Uniqueness for a Biharmonic Equation with Nearly Critical Growth on Symmetric Convex Domains
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- Sato Tomohiko
- Gakushuin University
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- Takahashi Futoshi
- Osaka City University
説明
We consider a biharmonic equation with the nearly critical Sobolev exponent under the Navier boundary condition on a smooth bounded, strictly convex domain of dimension N ≥ 5, which is symmetric with respect to the coordinate hyperplanes.<br>We prove that the number of positive solutions of the above problem is exactly one when the nonlinear exponent is subcritical and sufficiently near to the critical exponent. Furthermore, this unique solution is nondegenerate in the sense that the associated linearized problem admits only the trivial solution.
収録刊行物
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- Funkcialaj Ekvacioj
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Funkcialaj Ekvacioj 52 (2), 213-232, 2009
日本数学会函数方程式論分科会
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詳細情報 詳細情報について
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- CRID
- 1390282680089326720
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- NII論文ID
- 130000140520
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- ISSN
- 05328721
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可