一类拟线性椭圆障碍问题极小正解的存在性

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CLC Number:

35J65

RAN Qi-Kang, CHEN Hui-Yu. Exittence of Minimal Positive Solution of a Class of Quasilinear Elliptic Obstacle Problems[J].Acta mathematica scientia,Series A, 2001, 21(zk): 616-624.

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１　ＥｋｅｌａｎｄＩ．Ｎｏｎｃｏｎｖｅｘｍｉｎｉｍｉｚａｔｉｏｎｐｒｏｂｌｅｍｓ．ＢｕｌｌＡｍＭａｔｈＳｃｉ，１９７９，１：４４３－４７４
２　ＡｚｏｒｅｒｏＪＧ，ＡｌｏｎｓｏＩＰ．Ｍｕｌｔｉｐｌｉｃｉｔｙｏｆｓｏｌｕｔｉｏｎｓｆｏｒｅｌｌｉｐｔｉｃｐｒｏｂｌｅｍｓｗｉｔｈｃｒｉｔｉｃａｌｅｘｐｏｎｅｎｔｏｒｗｉｔｈａｎｏｎｓｙｍｍｅｔｒｉｃｔｅｒｍ．ＴｒａｎｓＡｍＭａｔｈＳｏｃ，１９９１，３２３（２）：８７－８９
３　ＨｅｉｎｏｎｅｎＪ，ＫｉｌｐｅｌＡｉｎｅｎＴ，ＭａｒｔｉｏＯ．Ｎｏｎｌｉｎｅａｒｐｏｔｅｎｔｉａｌｔｈｅｏｒｙｏｆｄｅｇｅｎｅｒａｔｅｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＯｘｆｏｒｄＵｎｉｖｅｒｓｉｔｙＰｒｅｓｓ，１９９３
４　ＬｉＧｏｎｇｂａｏ，ＭａｒｔｉｏＯ．ＳｔａｂｉｌｉｔｙｉｎＯｂｓｔａｃｌｅｐｒｏｂｌｅｍｓ．ＭａｔｈＳｃａｎｄ，１９９４，７５：８７－１００
５　ＬｉＧｏｎｇｂａｏ，ＭａｒｔｉｏＯ．Ｓｔａｂｉｌｉｔｙｏｆｓｏｌｕｔｉｏｎｓｏｆｖａｒｙｉｎｇｄｅｇｅｎｅｒａｔｅｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＩｎｄｉａｎａＵｎｉｖｅｒｓｉｔｙＭａｔｈｅｍａｔｉｃｓＪｏｕｒｎａｌ，１９９８，４７（３）：８７３－８９１
６　ＧｉａｑｕｉｎｔａＭ．Ｇｕｌｔｉｐｌｅｉｎｔｅｇｒａｌｓｉｎｔｈｅｃａｌｃｕｌｓｏｆｖａｒｉａｔｉｏｎｓａｎｄｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｓｙｓｔｅｍｓ．Ｐｒｉｎｃｅｔｏｎ，１９８３７　ＰｅｔｒｉＪｕｕｔｉｎｅｎ．ＭｉｎｉｍｉｚａｔｉｏｎｐｒｏｂｌｅｍｓｆｏｒＬｉｐｓｃｈｉｔｚｆｕｎｃｔｉｏｎｓｖｉａｖｉｓｃｏｓｉｔｙｓｏｌｕｔｉｏｎｓ．ＡｎｎＡｃａｄＳｃｉＦｅｎｎＭａｔｈＤｉｓｓｅｒ
ｔａｔｉｏｎｓ，１９９８，１１５：１－５３
８　ＬｉｏｎｓＰＬ．Ｔｈｅｃｏｎｃｅｎｔｒａｔｉｏｎｃｏｍｐａｃｔｎｅｓｓｐｒｉｎｃｉｐｌｅｉｎｔｈｅｃａｌｃｕｌｕｓｏｆｖａｒｉａｔｉｏｎ，ｔｈｅｌｉｍｉｔｃａｓｅ，ｐａｒｔ１，２．ＲｅｖＭａｔＩｂｅｒｏａｍｅｒｉｃａｎａ，１９８５，１：１４５－２０１；２：４５－１２１
９　ＹａｎｇＪｉａｎｆｕ．Ｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｓｏｆｑｕａｓｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｏｂｓｔａｃｌｅｐｒｏｂｌｅｍｓｗｉｔｈｃｒｉｔｉｃａｌｅｘｐｏｎｅｎｔｓ．ＮｏｎｌｉｎｅａｒＡｎａｌｙｓｉｓ，Ｔｈｅｏｒｙ，Ｍｅｔｈｏ犱ｓ＆Ａｐｐｌｉｃａｔｉｏｎｓ，１９９５，２５（１２）：１２８３－１３０６
１０　ＲａｎＱｉｋａｎｇ，ＦａｎｇＡｉｎｏｎｇ．ＥｘｉｓｔｅｎｃｅｏｆｉｎｆｉｎｉｔｅｌｙｍａｎｙｓｏｌｕｔｉｏｎｓｏｎａｃｌａｓｓｒｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｗｉｔｈＮｅｕｍａｎｎｐｒｏｂｌｅｍ．ＣｈｉｎｅｓｅＪｏｕｒｎａｌｏｆＣｏｎｔｅｍｐｏｒａｒｙＭａｔｈｅｍａｔｉｃｓ，２０００，２１（２）：８７－９５

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[2]	TAO Yang-Xin, CHEN Yao-Tian. Multiple Solutions for a Singular Elliptic Equation with Critical SobolevHardy Exponent and Inhomogeneous Term [J]. Acta mathematica scientia,Series A, 2003, 23(6): 660-666.
[3]	ZHOU Shu-Qing, WEN Hai-Yang, FANG Hua-Jiang-. Quality for Very Weak Solutions to a Class\=of NonHomogeneous Aharmonic Systems [J]. Acta mathematica scientia,Series A, 2003, 23(2): 135-144.

Exittence of Minimal Positive Solution of a Class of Quasilinear Elliptic Obstacle Problems

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