| SOLUTION OF A CLASS OF NONHOMOGENEOUS ELLIPTIC SYSTEM INVOLVING CRITICAL SOBOLEV EXPONENT |
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| 作者姓名： | Zhang Guoqing Liu Sanyang |
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| 作者单位： | Dept. of Applied Math.，Xidian University，Xi'an 710071; College of Sciences，University of Shanghai for Sci. and Tech.，Shanghai 200098 |
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| 基金项目： | This research is supported by the NNSF of China under Grant (69972036)
the Youth Science Foundation of USST under Grant (04XQN018). |
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| 摘 要： | In this paper, we discuss the problem of solving a class of nonhomogeneous semilinear elliptic system with critical Sobolev exponent changing into one of critical points of some given functional. Using Nehari technique, the given functional attain its minimum by adding suitable constraints, and the minimal point becomes a critical point of the original functional after eliminating the added constraints, thus the solution of the nonhomogeneous elliptic system is obtained.
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| 关 键 词： | 临界Sobolev展开式 非同源椭圆型方程 Nehari 半线性偏微分 边界条件 |
SOLUTION OF A CLASS OF NONHOMOGENEOUS ELLIPTIC SYSTEM INVOLVING CRITICAL SOBOLEV EXPONENT |
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| Zhang Guoqing Liu Sanyang.SOLUTION OF A CLASS OF NONHOMOGENEOUS ELLIPTIC SYSTEM INVOLVING CRITICAL SOBOLEV EXPONENT[J].微分方程年刊(英文版),2005,21(1):85-92. |
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| Authors: | ZhangGuoqing LiuSanyang |
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| Abstract: | In this paper, we discuss the problem of solving a class of nonhomogeneous semilinear elliptic system with critical Sobolev exponent changing into one of critical points of some given functional. Using Nehari technique, the given functional attain its minimum by adding suitable constraints, and the minimal point becomes a critical point of the original functional after eliminating the added constraints, thus the solution of the nonhomogeneous elliptic system is obtained. |
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| Keywords: | critical Sobolev exponent nonhomogeneous elliptic system Ne hari technique |
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