| 临界增长的椭圆型方程广义解的有界性及先验估计 |
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| 引用本文： | 王向东.临界增长的椭圆型方程广义解的有界性及先验估计[J].系统科学与数学,1997,17(3):232-243. |
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| 作者姓名： | 王向东 |
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| 作者单位： | 郑州轻工业学院基础部!郑州，450002(王向东)，中山大学数学系!广州，510275(梁 廷) |
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| 摘 要： | 本文证明了椭圆型方程由divA（x，u,u）=B(x,u,u)(在G内)在带权soblev空间中的广义解的有界性，并做出了有界解最大模的先验估计．A（x，u，ζ)和B（x，u，ζ)关于u的增长阶达到了临界指数，而且允许B（x,u,ζ)关于ζ的增长阶γ满足自然增长条件，从而推广和改进了已有的所有结果．
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| 关 键 词： | 带权Sobolev空间 椭圆型方程 广义解 |
A PRIORI ESTIMATES OF THE MAXIMUM MODULUS OF GENERALIZED SOLUTIONS TO A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH ANISOTROPIC GROWTH CONDITIONS |
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| Wang Xiangdong.A PRIORI ESTIMATES OF THE MAXIMUM MODULUS OF GENERALIZED SOLUTIONS TO A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS WITH ANISOTROPIC GROWTH CONDITIONS[J].Journal of Systems Science and Mathematical Sciences,1997,17(3):232-243. |
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| Authors: | Wang Xiangdong |
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| Institution: | (Basic Subjects Department of Zhengzhou Institute of Light Industry, Zhengzhou 450002)Liang Xiting(Zhong Shan University, Guangzhou 510275) |
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| Abstract: | In this paper, we give the a priori estimates of the maximum modulus of generalized solutions to quasilinear elliptic equations with anisotropic growth conditions. |
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| Keywords: | Quasilinear elliptic equation anisotropic Sobolev space generalized solution |
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