Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (2): 261-267.
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LI Feng-Quan, LI Guang-Wei
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Published:
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山东省自然科学基金资助（项目号：Ｙ９８Ａ０９０２，Ｑ９９Ａ０５）．
Abstract:
该文研究了关于梯度具有次二次增长条件，右端项在L^1空间的一类拟线性椭圆型方程熵解的存在性．
Key words: 拟线性椭圆型方程, 次二次增长, L^1资料, 熵解．
CLC Number:
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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http://actams.apm.ac.cn/sxwlxbA/EN/Y2001/V21/I2/261
１ Ｇａｌｌｏｕ¨ｅｔＴ．Ｅｑｕａｔｉｏｎｓｅｌｌｉｐｔｉｑｕｅｓｓｅｍｉｌｉｎéａｉｒｅｓａｖｅｃ，ｐｏｕｒｌａｎｏｎｌｉｎéａｒｉｔé，ｕｎｅｃｏｎｄｉｔｉｏｎｄｅｓｉｇｎｅｅｔｕｎｅｄéｐｅｎｄａｎｃｅ ｓｏｕｓｑｕａｄｒａｔｉｑｕｅｐａｒｒａｐｐｏｒｔａｕｇｒａｄｉｅｎｔ．ＡｎｎＦａｃＳｃｉＴｏｕｌｏｕｓｅ，１９８８，９（２）：１６１－１６９ ２ ＢｏｃｃａｒｄｏＬ，ＧｉａｃｈｅｔｔｉＤ．Ｅｘｉｓｔｅｎｃｅｒｅｓｕｌｔｓｖｉａｒｅｇｕｌａｒｉｔｙｆｏｒｓｏｍｅｎｏｎ－ｌｉｎｅａｒｅｌｌｉｐｔｉｃｐｒｏｂｌｅｍ．ＣｏｍｍＰＤＥ，１９８９，１４：６６３－６８０ ３ ＬａｄｙｚｈｅｎｓｋａｙａＯ Ａ，ＵｒａｌｔｓｅｖａＮ Ｎ．Ｌｉｎｅａｒａｎｄｑｕａｓｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ（ＥｎｇｌｉｓｈＴｒａｎｓｌａｔｉｏｎｆｒｏｍ Ｒｕｓｓｉａｎ）．Ｎｅｗ Ｙｏｒｋ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９６８ ４ ＢéｎｉｌａｎＰｈ，ＢｏｃｃａｒｄｏＬ，Ｇａｌｌｏｕ¨ｅｔＴ，ＧａｒｉｅｐｙＲ，ＰｉｅｒｒｅＭ，ＶａｉｑｕｅｚＪＬ．Ａｎ犔１ｔｈｅｏｒｙｏｆｅｘｉｓｔｅｎｃｅａｎｄｕｎｉｑｕｅｎｅｓｓｏｆ ｓｏｌｕｔｉｏｎｓｏｆｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ．ＡｎｎＳｃｕｏｌａＮｏｒｍＳｕｐＰｉｓａ，１９９５，２２（２）：２４０－２７３ ５ ＬａｘＰ．ＨｙｐｅｒｂｏｌｉｃｓｙｓｔｅｍｓｏｆｃｏｎｓｅｒｖａｔｉｏｎｌａｗｓＩＩ．ＣｏｍｍＰｕｒｅＡｐｐｌｉｅｄ Ｍａｔｈｓ，１９５７，１０：５３７－５６６ ６ ＢｏｃｃａｒｄｏＬ．ＳｏｍｅｎｏｎｌｉｎｅａｒＤｉｒｉｃｈｌｅｔｐｒｏｂｌｅｍｓｉｎ犔１ｉｎｖｏｌｖｉｎｇｌｏｗｅｒｏｒｄｅｒｔｅｒｍｓｉｎｄｉｖｅｒｇｅｎｃｅｆｏｒｍ．Ｐｉｔｍａｎ Ｒｅｓ Ｎｏｔｅｓｉｎ ＭａｔｈＳｅｒ３５０，Ｈａｒｌｏｗ：ＬｏｎｇｍａｎＳｃｉＴｅｃｈ，１９９６，４３－５７ ７ ＬｉｏｎｓＪＬ．Ｑｕｅｌｑｕｅｓｍéｔｈｏｄｅｓｄｅｒéｓｏｌｕｔｉｏｎｄｅｓｐｒｏｂｌéｍｅｓａｕｘｌｉｍｉｔｅｓｎｏｎｌｉｎéａｉｒｅｓ．Ｐａｉｒｓ：ＤｕｎｏｄＧａｕｔｈｉｅｒＶｉｌｌａｒｓ，１９６９ ８ ＢｏｃｃａｒｄｏＬ，Ｇａｌｌｏｕ¨ｅｔＴ．Ｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃａｎｄｐａｒａｂｏｌｉｃｅｑｕａｔｉｏｎｉｎｖｏｌｖｉｎｇｍｅａｓｕｒｅｄａｔａ．ＪＦｕｎｃｔＡｎａｌ，１９８９，８７：１４９－１６９ ９ ＶｅｃｃｈｉｏＴＤｅｌ．Ｎｏｎｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓｗｉｔｈｍｅａｓｕｒｅｄａｔａ．ＰｏｔｅｎｔｉａｌＡｎａｌｙｓｉｓ，１９９５，４：１８５－２０３
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