| 非齐次A-调和方程弱解的局部极值原理 |
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| 引用本文： | 王艳梅,佟玉霞,谷建涛.非齐次A-调和方程弱解的局部极值原理[J].数学的实践与认识,2010,40(2). |
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| 作者姓名： | 王艳梅 佟玉霞 谷建涛 |
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| 作者单位： | 1. 河北省能源职业技术学院机电工程系,河北,唐山,063004
2. 河北理工大学理学院,河北,唐山,063009 |
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| 基金项目： | 河北理工大学科学研究基金(z0819) |
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| 摘 要： | 研究非齐次A-调和方程divA(x,▽u(x))=B(x,▽u(x)),其满足〈A(x,h),h〉≥α|h|~p,|A(x,h)|≤β|h|~(p-1)+g(x),|B(x,h)|≤γ|h|~(p-1).应用Moser迭代法证明其弱解满足局部极值原理,并进一步得出弱解的内部估计和全局估计.
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| 关 键 词： | 非齐次A-调和方程 弱解 极值原理 |
Local Extremum Principle for Weak Solutions of the Nonhomogeneous A-Harmonic Equation |
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| WANG Yan-mei,TONG Yu-xia,GU Jian-tao.Local Extremum Principle for Weak Solutions of the Nonhomogeneous A-Harmonic Equation[J].Mathematics in Practice and Theory,2010,40(2). |
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| Authors: | WANG Yan-mei TONG Yu-xia GU Jian-tao |
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| Institution: | WANG Yan-mei~1,TONG Yu-xia~2,GU Jian-tao~2 (1.Department of Electromechanical Engineering Hebei Institute of Vocation , Technology,Tangshan 063004,China) (2.College of Science,Hebei Polytechnic University,Tangshan 063009,China) |
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| Abstract: | The nonhomogeneous A-Harmonic Equation div A(x,▽u(x))=B(x,▽u(x)) isstudied,under conditions
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| Keywords: | the nonhomogeneous A-Harmonic Equation weak solution extremum principle |
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