一类具有次二次增长条件和L^1资料的拟线性椭圆方程

Abstract

CLC Number:

35D05

LI Feng-Quan, LI Guang-Wei. Some Quasilinear Elliptic Equations with a Subquadratic Growth Conditions and L^1 Data[J].Acta mathematica scientia,Series A, 2001, 21(2): 261-267.

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１　Ｇａｌｌｏｕ¨ｅｔＴ．Ｅｑｕａｔｉｏｎｓｅｌｌｉｐｔｉｑｕｅｓｓｅｍｉｌｉｎéａｉｒｅｓａｖｅｃ，ｐｏｕｒｌａｎｏｎｌｉｎéａｒｉｔé，ｕｎｅｃｏｎｄｉｔｉｏｎｄｅｓｉｇｎｅｅｔｕｎｅｄéｐｅｎｄａｎｃｅｓｏｕｓｑｕａｄｒａｔｉｑｕｅｐａｒｒａｐｐｏｒｔａｕｇｒａｄｉｅｎｔ．ＡｎｎＦａｃＳｃｉＴｏｕｌｏｕｓｅ，１９８８，９（２）：１６１－１６９
２　ＢｏｃｃａｒｄｏＬ，ＧｉａｃｈｅｔｔｉＤ．Ｅｘｉｓｔｅｎｃｅｒｅｓｕｌｔｓｖｉａｒｅｇｕｌａｒｉｔｙｆｏｒｓｏｍｅｎｏｎ－ｌｉｎｅａｒｅｌｌｉｐｔｉｃｐｒｏｂｌｅｍ．ＣｏｍｍＰＤＥ，１９８９，１４：６６３－６８０
３　ＬａｄｙｚｈｅｎｓｋａｙａＯＡ，ＵｒａｌｔｓｅｖａＮＮ．Ｌｉｎｅａｒａｎｄｑｕａｓｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ（ＥｎｇｌｉｓｈＴｒａｎｓｌａｔｉｏｎｆｒｏｍＲｕｓｓｉａｎ）．ＮｅｗＹｏｒｋ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９６８
４　ＢéｎｉｌａｎＰｈ，ＢｏｃｃａｒｄｏＬ，Ｇａｌｌｏｕ¨ｅｔＴ，ＧａｒｉｅｐｙＲ，ＰｉｅｒｒｅＭ，ＶａｉｑｕｅｚＪＬ．Ａｎ犔１ｔｈｅｏｒｙｏｆｅｘｉｓｔｅｎｃｅａｎｄｕｎｉｑｕｅｎｅｓｓｏｆｓｏｌｕｔｉｏｎｓｏｆｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＡｎｎＳｃｕｏｌａＮｏｒｍＳｕｐＰｉｓａ，１９９５，２２（２）：２４０－２７３
５　ＬａｘＰ．ＨｙｐｅｒｂｏｌｉｃｓｙｓｔｅｍｓｏｆｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓＩＩ．ＣｏｍｍＰｕｒｅＡｐｐｌｉｅｄＭａｔｈｓ，１９５７，１０：５３７－５６６
６　ＢｏｃｃａｒｄｏＬ．ＳｏｍｅｎｏｎｌｉｎｅａｒＤｉｒｉｃｈｌｅｔｐｒｏｂｌｅｍｓｉｎ犔１ｉｎｖｏｌｖｉｎｇｌｏｗｅｒｏｒｄｅｒｔｅｒｍｓｉｎｄｉｖｅｒｇｅｎｃｅｆｏｒｍ．ＰｉｔｍａｎＲｅｓＮｏｔｅｓｉｎＭａｔｈＳｅｒ３５０，Ｈａｒｌｏｗ：ＬｏｎｇｍａｎＳｃｉＴｅｃｈ，１９９６，４３－５７
７　ＬｉｏｎｓＪＬ．Ｑｕｅｌｑｕｅｓｍéｔｈｏｄｅｓｄｅｒéｓｏｌｕｔｉｏｎｄｅｓｐｒｏｂｌéｍｅｓａｕｘｌｉｍｉｔｅｓｎｏｎｌｉｎéａｉｒｅｓ．Ｐａｉｒｓ：ＤｕｎｏｄＧａｕｔｈｉｅｒＶｉｌｌａｒｓ，１９６９
８　ＢｏｃｃａｒｄｏＬ，Ｇａｌｌｏｕ¨ｅｔＴ．Ｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃａｎｄｐａｒａｂｏｌｉｃｅｑｕａｔｉｏｎｉｎｖｏｌｖｉｎｇｍｅａｓｕｒｅｄａｔａ．ＪＦｕｎｃｔＡｎａｌ，１９８９，８７：１４９－１６９
９　ＶｅｃｃｈｉｏＴＤｅｌ．Ｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｗｉｔｈｍｅａｓｕｒｅｄａｔａ．ＰｏｔｅｎｔｉａｌＡｎａｌｙｓｉｓ，１９９５，４：１８５－２０３

[1]	YAN Guo-Zheng. Integral Equations to the Scattering Problem by a Mixed Crack [J]. Acta mathematica scientia,Series A, 2011, 31(5): 1167-1175.
[2]	DOU Jing-Bo, GUO Qian-Qiao. A Concentration-Compactness Principle at Infinity on the Heisenberg Group and Multiplicity of Solutions for p-sub-Laplacian Problem Involving Critical Sobolev Exponents [J]. Acta mathematica scientia,Series A, 2009, 29(4): 1033-1043.

Some Quasilinear Elliptic Equations with a Subquadratic Growth Conditions and L^1 Data

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