| Stability of Solution of a Class of Quasilinear Elliptic Equations |
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| 作者姓名： | Qi-kang Ran Ai-nong Fang |
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| 作者单位： | Qi-kang Ran，Ai-nong FangDepartment of Applied Mathematics，Shanghai University of Finance and Economics，Shanghai 200433，ChinaDepartment of Applied Mathematics，Shanghai Jiaotong University，Shanghai 200030，China |
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| 基金项目： | the National Natural Science Foundation of China (No.19531060). |
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| 摘 要： | In this paper, using capacity theory and extension theorem of Lipschitz functions we first discuss the uniqueness of weak solution of nonhomogeneous quasilinear elliptic equationsin space W(θ,p)(Ω), which is bigger than W1,p(Ω). Next, using revise reverse Holder inequality we prove that if ωc is uniformly p-think, then there exists a neighborhood U of p, such that for all t ∈U, the weak solutions of equation corresponding t are bounded uniformly. Finally, we get the stability of weak solutions on exponent p.
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Stability of Solution of a Class of Quasilinear Elliptic Equations |
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| Qi-kang Ran,Ai-nong Fang.Stability of Solution of a Class of Quasilinear Elliptic Equations[J].Acta Mathematicae Applicatae Sinica,2002,18(3):461-470. |
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| Authors: | Qi-kang Ran Ai-nong Fang |
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| Institution: | (1) Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China (E-mail: ranqikang@263.net), CN;(2) Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China (E-mail: anfang@mail.sjtu.edu.cn), CN |
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| Abstract: | |
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| Keywords: | Nonhoraogeneous quasilinear elliptic equations capacity stability |
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