| 各向异性泛函与各向异性方程解的局部有界性 |
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| 引用本文： | 高红亚,王红敏,褚玉明.各向异性泛函与各向异性方程解的局部有界性[J].数学物理学报(A辑),2010,30(2):425-431. |
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| 作者姓名： | 高红亚 王红敏 褚玉明 |
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| 作者单位： | 高红亚,Gao Hongya(河北大学数学与计算机学院,河北保定,071002;河北省数学研究中心,石家庄,050016);王红敏,Wang Hongmin(河北大学数学与计算机学院,河北保定,071002);褚玉明,Chu Yuming(湖州师范学院理学院,浙江湖州,313000) |
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| 基金项目： | 高红亚获河北省自然科学基金数学研究专项，褚玉明获973前期研究专项，国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 证明了各向异性泛函的极小点与各向异性方程
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| 关 键 词： | 局部有界性 各向异性泛函 各向异性方程 |
| 收稿时间： | 2007-12-07 |
| 修稿时间： | 2008-09-29 |
Local Boundedness Results Related to Anisotropic Functionals and Anisotropic Equations |
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| Gao Hongya Wang Hongmin Chu Yuming.Local Boundedness Results Related to Anisotropic Functionals and Anisotropic Equations[J].Acta Mathematica Scientia,2010,30(2):425-431. |
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| Authors: | Gao Hongya Wang Hongmin Chu Yuming |
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| Institution: | ~(1,2)Gao Hongya ~1Wang Hongmin ~3Chu Yuming (1 College of Mathematics , Computer Science,Hebei University,Hebei Baoding 071002,2 Hebei Privincial Center of Mathematics,Shijiazhuang 050016,3 Faculty of Science,Huzhou Teachers College,Zhejiang Huzhou 313000) |
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| Abstract: | Local boundedness results for minima of the anisotropic functional
I(u; Ω) = ∫Ω f(x, u, Du)dx, u ∈ Wloc1,(qi)(Ω)，
and weak solutions of the anisotropic equation
div A(x, u, Du) =0, u ∈ Wloc1,(qi)(Ω)
are proved, which can be regarded as generalizations of the classical results. |
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| Keywords: | Local boundedness Anisotropic functional Anisotropic equation |
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