| EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES |
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| 作者姓名： | Wei Li Zhou HaiyunSchool of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang China. Inst.of Appl.Math.and Mech. Ordnance Engineering College Shijiazhuang China. |
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| 作者单位： | Wei Li Zhou HaiyunSchool of Mathematics and Statistics，Hebei University of Economics and Business，Shijiazhuang 050061，China. Inst.of Appl.Math.and Mech.，Ordnance Engineering College，Shijiazhuang 050003，China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina(10471033). |
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| 摘 要： | § 1 Introduction and preliminariesThe equations related to the p- L aplacian operatorΔp have been studied in differentaspects1— 4 ] sinceΔp arises from a variety of physical phenomena such as non Newtonianfluids,reaction- diffusion problems,etc.In this paper,the following equation(1) which canbe regarded as an extension of those in1— 4 ]will be discussed:- div(α(gradu) ) +|u(x) |p- 2 u(x) +g(x,u(x) ) =f (x) a.e. onΩ-〈n,α(gradu)〉∈βx(u(x) ) ,a.e.onΓ . (1) More details can b…
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EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES |
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| Wei Li Zhou HaiyunSchool of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang ,China. Inst.of Appl.Math.and Mech.,Ordnance Engineering College,Shijiazhuang ,China..EXISTENCE OF SOLUTIONS OF A FAMILY OF NONLINEAR BOUNDARY VALUE PROBLEMS IN L~2-SPACES[J].Applied Mathematics A Journal of Chinese Universities,2005(2). |
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| Authors: | Wei Li Zhou HaiyunSchool of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang China Instof ApplMathand Mech Ordnance Engineering College Shijiazhuang China |
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| Institution: | Wei Li Zhou HaiyunSchool of Mathematics and Statistics,Hebei University of Economics and Business,Shijiazhuang 050061,China. Inst.of Appl.Math.and Mech.,Ordnance Engineering College,Shijiazhuang 050003,China. |
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| Abstract: | |
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| Keywords: | maximal monotone operator accretive mapping hemi-continuous mapping strictly convex space |
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