几乎临界增长的半线性椭圆方程正解的存在性

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Yao Yangxi Xu Jinghua Yao Ruohe. Existence of Positive Solution for a Semilinear Elliptic Equation Involving Nearly Critical Exponent[J].Acta mathematica scientia,Series A, 2000, 20(4): 487-492.

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１　ＢａｈｒｉＡ，ＣｏｒｏｎＪＭ．ＯｎａｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌＳｏｂｏｌｅｖｅｘｐｏｎｅｎｔ，ｔｈｅｅｆｆｅｃｔｏｆｔｈｅｔｏｐｏｌｏｇｙｏｆｔｈｅｄｏｍａｉｎ．Ｃｏｍｍ．ＰｕｒｅＡｐｐｌＭａｔｈ１９８８，４１：２５３－２９４
２　ＢｒａｚｉｓＨ，ＰｅｌｅｔｉｅｒＬＡ．Ａｓｙｍｐｔｏｔｉｃｓｆｏｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌｇｒｏｗｔｈ，ｉｎｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓａｎｄｃａｌｃｕｌｕｓｏｆｖａｒｉａｔｉｏｎｓ，Ｉｎ：Ｆ．Ｃｏｌｏｍｂｉｎｉｅｔａｌ．ｅｄｓ．Ｂｉｒｋｈａｕｓｅｒ，Ｂａｓｅｌ，１９８９，１４９－１９２
３　ＢｒｅｚｉｓＨ，ＶｉｒｅｎｂｅｒｇＬ．Ｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｏｆｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌｓｏｂｏｌｅｖｅｘｐｏｎｅｎｔｓ．ＣｏｍｍＰｕｒｅＡｐｐｌＭａｔｈ，１９８３，３６：４３７－４７７
４　ＨａｎＺ．ＡｓｙｍｐｔｏｔｉｃａｐｐｒｏａｃｈｔｏｓｉｎｇｎｌａｒｓｏｌｕｔｉｏｎｓｆｏｒｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌＳｏｂｏｌｅｖｅｘｐｏｎｅｎｔ．ＡｎｎＩｎｓｔＨＰｏｉｎｃａｒｅ，１９９１，８：１５９－１７４
５　ＲｅｙＯ．ＴｈｅｒｏｌｅｏｆｔｈｅＧｒｅｅｎ＇ｓｆｕｎｃｔｉｏｎｉｎａｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｉｎｖｏｌｖｉｎｇｔｈｅｃｒｉｔｉｃａｌＳｏｂｅｌｅｖｅｘｐｏｎｅｎｔ．ＪｏｕｒｎａｌｏｆｆｕｎｃｔｉｏｎＡｎａｌ，１９９０，８９：１－５２
６　ＷｅｉＪ．ＬｏｃａｔｉｎｇｔｈｅｂｌｏｗｕｐｐｏｉｎｔｏｆａｓｅｍｉｌｉｎｅａｒＤｉｒｉｃｈｌｅｔｐｒｏｂｌｅｍｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌＳｏｂｏｌｅｖｅｘｐｏｎｅｎｔ．ＣｏｍｍＰＤＥ
７　沈尧天，严树森．拟线性椭圆型方程的变分方法．广州：华南理工大学出版社，１９９５

[1]	Sun Yijing Wu Shaoping. On a Nonlinear Elliptic Equation with Sublinear Term at Origin [J]. Acta mathematica scientia,Series A, 2000, 20(4): 461-467.
[2]	Chen Fangqi1,2 Chen Yushu2 Wu Zhiqiang2. Global Solutions of a Class of Nonlinear Integrodifferential Equations in Banach Spaces [J]. Acta mathematica scientia,Series A, 2000, 20(4): 506-512.
[3]	Ma Changfeng Chen Xinmei. Quadratic Convergence of Newton-type Algorithms for Mix-complementarity Problems [J]. Acta mathematica scientia,Series A, 2000, 20(2): 145-151.
[4]	Zhou Youming. Solutions of Nonlinear Singular Second Order Differential Equations in Banach Spaces [J]. Acta mathematica scientia,Series A, 2000, 20(2): 181-186.
[5]	Hong Shihuang Ou Yigui. On the Solvability of Initial and Boundary Value Problems for High Order Ordinary Differential Equations in Banach Spaces [J]. Acta mathematica scientia,Series A, 1999, 19(5): 559-564.

Existence of Positive Solution for a Semilinear Elliptic Equation Involving Nearly Critical Exponent

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