| 自然增长椭圆EULER方程特征值问题 |
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| 引用本文： | 沈尧天,马汝念.自然增长椭圆EULER方程特征值问题[J].中山大学学报(自然科学版),1995,34(3):14-19. |
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| 作者姓名： | 沈尧天 马汝念 |
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| 作者单位： | 华南理工大学应用数学系，中山大学数学系 |
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| 基金项目： | 中国科学院科学基金会和中山大学高等学术研究中心基金会资助项目 |
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| 摘 要： | 本文研究了适当条件之下的自然增长椭圆ＥＵＬＥＲ方程的特征值问题的可解性及正则性。
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| 关 键 词： | 自然增长，椭圆型EULER方程，特征值问题，变分方法 |
Elgenvalue Problem of Elliptic Euler Equations with the Natural Growth Condition |
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| Shen Yaotian,Ma RuaianSouth China University of Technolegy,Guangzhou.Elgenvalue Problem of Elliptic Euler Equations with the Natural Growth Condition[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,1995,34(3):14-19. |
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| Authors: | Shen Yaotian Ma RuaianSouth China University of Technolegy Guangzhou |
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| Institution: | Shen Yaotian,Ma RuaianSouth China University of Technolegy,Guangzhou 510650 |
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| Abstract: | We consider the eigenvalue problem of elliptic Euler equations under the natural growth condition,we consider multiple integrals of the F(x,u,Du)then weknow that the variational problem under some sufficient conditions relevant to F(x,u,q),yields its solution.A similar method can be used to prove the existence of thesolution to the variational problem I(u),which I(u)is restricted on E. |
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| Keywords: | Natural growth elliptic Euler equation eigenvalue problem variationalmethod |
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