临界非齐次双调和方程的多解存在性

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Zeng Xianzhong Deng Yinbin. Existence of Multiple Solutions for a Semilinear Biharmonic-Equation with Critical Exponent[J].Acta mathematica scientia,Series A, 2000, 20(4): 547-554.

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Δ１　ＤｅｎｇＹｉｎｂｉｎ．Ｅｘｉｓｔｅｎｃｅｏｆｍｕｌｔｉｐｌｅｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｆｏｒ－ Δu＝ λu＋u{N+2/_N-2^}+Uf(X).Ａｃｔａｍａｔｈｓｉｎｃａｎｅｗｓｅｒｉｅｓ，１９９３，９（３）：３１１－３２０
２　ＤｅｎｇＹｉｎｂｉｎ，ＹａｎｇＪＦ．ＥｘｉｓｔｅｎｃｅｏｆｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓａｎｄｂｉｆｕｒｃａｔｉｏｎｆｏｒｃｒｉｔｉｃａｌｓｅｍｉｌｉｎｅａｒＢｉｈａｒｍｏｎｉｃｅｑｕａｔｉｏｎ．ＳｙｓｔｅｍｓｓｃｉｅｎｃｅａｎｄＭａｔｈｅｍａｔｉｃａｌｓｃｉｅｎｃｅｓ，１９９５，８（４）：３１９－３２６
３　ＧｕＹＧ，ＤｅｎｇＹＢ，ＷａｎｇＸＪ．Ｅｘｉｓｔｅｎｃｅｏｆｎｏｎｔｒｉｖａｌｓｏｌｕｔｉｏｎｆｏｒｃｒｉｔｉｃａｌｓｅｍｉｌｉｎｅａｒｂｉｈａｒｍｏｎｉｃｅｑｕａｔｉｏｎｓ．ＳｙｓｔｅｍｓｓｃｉｅｎｃｅａｎｄＭａｔｈＳｃｉｅｎｃｅｓ，１９９４，７（２）：１４０－１５２
４　ＥｄｍｕｎｄｓＤＥ，ＦｏｒｔｕｎａｔｏＤ，ＪａｎｎｅｌｌｉＤ．Ｃｒｉｔｉｃａｌｄｉｍｅｎｓｉｏｎｓａｎｄｔｈｅｂｉｈａｒｍｏｎｉｃｏｐｅｒａｔｏｒ．ＡｒｃｈＲａｔｉｏｎａｌＭｅｃｈＡｎａｌ，１９９０，１１２：２６９－２８９.
５　ＰｉｐｈｅｒＪ，ＶｅｒｃｈｏｔａＧ．ＴｈｅＤｉｒｉｃｈｌｅｔＰｏｒｂｌｅｍｉｎL^pｆｏｒｔｈｅｂｉｈａｒｍｏｎｉｃｅｑｕａｔｉｏｎＬｉｐｓｃｈｉｔｚｄｏｍａｉｎｓ．ＡｍｅｒＪＭａｔｈ，１９９２，１１４：９２３－９７２
６　ＤｅｎｇＹＨ，ＳｈｅｎＹＴ，ＺｈａｎｇＷＴ，ＧｕＹＧ．Ｅｘｉｓｔｅｎｃｅａｎｄｎｏｎｅｘｉｓｔｅｎｃｅｏｆｎｏｎｔｒｉｖｉａｌｓｏｌｕｔｉｏｎｏｆｈｉｇｈｅｒｏｒｄｅｒｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＪＳｙｓＳｃｉａｎｄＭａｔｈＳｃｉ，１９８６，６（２）：９０－１００
７　郭真华，邓引斌．Δ^2u＝ λu＋u{N+4/_N-4^}+Uf(X).的多解存在性．数学物理学报，１９９９，１９（２）：１３８－１４８
８　彭永东，邓引斌．临界半线性双调和方程非平凡解的存在性．数学物理学报，１９９７，１７（４）：４５２－４６５
９　徐登洲，马如云．线性微分方程的非线性扰动．北京：科学出版社，１９９４，３６－３７

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Existence of Multiple Solutions for a Semilinear Biharmonic-Equation with Critical Exponent

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