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Adams' inequalities for bi-Laplacian and extremal functions in dimension four |
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| Authors: | Guozhen Lu Yunyan Yang |
| Institution: | a Department of Mathematics, Wayne State University, Detroit, MI 48202, USA b Department of Mathematics, Beijing Normal University, Beijing 100875, China c Department of Mathematics, Information School, Renmin University of China, Beijing 100872, PR China |
| Abstract: | Let Ω⊂R4 be a smooth oriented bounded domain,  be the Sobolev space, and  be the first eigenvalue of the bi-Laplacian operator Δ2. Then for any α: 0?α<λ(Ω), we have |
| Keywords: | 46E35 |
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