一类零点为次线性的椭圆方程的可解性

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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.

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１　ＺｈｕＸＰ．Ａｐｅｒｔｕｒｂａｔｉｏｎｒｅｓｕｌｔｏｎｐｏｓｉｔｉｖｅｅｎｔｉｒｅｓｏｌｕｔｉｏｎｓｏｆａｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎ．ＪＤＥ，１９９１，９２：１６３－１７８
２　ＣａｏＤＭ，ＺｈｏｕＨＳ．ＯｎｔｈｅｅｘｉｓｔｅｎｃｅｏｆｍｕｌｔｉｐｌｅｓｏｌｕｔｉｏｎｓｏｆｎｏｎｈｏｍｏｇｅｎｅｏｕｓｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌＳｏｂｏｌｅｖｅｘｐｏｎｅｎｔｓ．ＺＡＭＰ，１９９６，４７：８９－９６
３　ＣａｏＤＭ，ＺｈｏｕＨＳ．ＭｕｌｔｉｐｌｅｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｏｆｎｏｎｈｏｍｏｇｅｎｅｏｕｓｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎR^N．ＰｒｏｃＲｏｇａｌＳｏｃＥｄｉｎＳｅｒＡ，１９９６，１２６Ａ：４４３－４６３
４　ＡｍｂｒｏｓｅｔｔｉＡ，ＢｒｅｚｉｓＨ，ＣｅｒａｍｉＧ．Ｃｏｍｂｉｎｅｄｅｆｆｅｃｔｓｏｆｃｏｎｃａｖｅａｎｄｃｏｎｖｅｘｎｏｎｌｉｎｅａｒｉｔｉｅｓｉｎｓｏｍｅｅｌｌｉｐｔｉｃｐｒｏｂｌｅｍｓ．ＪＦｕｎｃｔｉｏｎａｌＡｎａｌｙｓｉｓ，１９９４，１２（２）：５１９－５４３
５　ＡｍｂｒｏｓｅｔｔｉＡ，ＡｚｏｒｅｒｏＪＧ，ＰｅｒａｌＩ．Ｍｕｌｔｉｐｌｌｉｃｉｔｙｒｅｓｕｌｔｓｆｏｒｓｏｍｅｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＪＦｕｎｃｔｉｏｎａｌＡｎａｌｙｓｉｓ，１９９６，１３７：２１９－２４２
６　ＰｅｒｅｒａＫ．Ｍｕｌｔｉｐｌｉｃｉｔｙｒｅｓｕｌｔｓｆｏｒｓｏｍｅｅｌｌｉｐｔｉｃｐｒｏｂｌｅｍｓｗｉｔｈｃｏｎｃａｖｅｎｏｎｌｉｎｅａｒｉｔｉｅｓ．ＪＤＥ，１９９７，１４０：１３３－１４１
７　ＴａｒａｎｔｅｌｌｏＧ．ＯｎｎｏｎｈｏｍｏｇｅｎｅｏｕｓｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｉｎｖｏｌｖｉｎｇｃｒｉｔｉｃａｌＳｏｂｏｌｅｖｅｘｐｏｎｅｎｔ．ＡｎｎＩｎｓｔＨｅｎｒｉＰｏｉｎｃａｒé Ａｎａｌｙｅｎｏｎｌｉｎéａｉｒｅ，１９９２，９（３）：２８１－３０４
８　ＨｅｓｓＰ．Ｏｎｔｈｅｓｏｌｖａｂｉｌｉｔｙｏｆｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓ．ＩｎｄｉａｎａＵｎｉｖｅｒｓｉｔｙＭａｔｈＪ，１９７６，２５（５）：４６１－４６６

[1]	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.
[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.

On a Nonlinear Elliptic Equation with Sublinear Term at Origin

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