| UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES |
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| 作者姓名： | 高红亚 叶玉全 谢素英 |
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| 作者单位： | 1.Dept. of Applied Math.，Shanghai Jiaotong Univ.，Shanghai 200240，China; 2. Dept. of Math.，Hebei Univ.，Baoding 071002 |
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| 基金项目： | National Natural Science Foundation of China! (No. 195 310 6 0 ) |
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| 摘 要： | LetΩ be a bounded domain in Rn.We consid-er the quasilinear elliptic second order equationdiv A(x,u) =B(x,u) (1 )where A∶ Ω×Rn→Rn and B∶ Ω×Rn→R are func-tions satisfying the usual measurability conditions(Carathodory conditions) and,for1 0whenever h1≠ h2 (4) |B(x,h) |≤β|h|p -1(5)for almostevery x∈ Ω and all h,h1…
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UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES |
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| GAO Hong-ya,YE Yu-quan,XIE Su-ying.UNIQUENESS FOR SOLUTIONS OF NONHOMOGENEOUS A -HARMONIC EQUATIONS WITH VERY WEAK BOUNDARY VALUES[J].Journal of Shanghai Jiaotong university,2001,6(1). |
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| Authors: | GAO Hong-ya YE Yu-quan XIE Su-ying |
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| Institution: | 1. Dept. of Applied Math., Shanghai Jiaotong Univ.,
2. Dept. of Applied Math., Shanghai Jiaotong Univ. |
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| Abstract: | A uniqueness result for nonhomogeneous quasilinear elliptic partial differential equations with very weak boundary values was proved. |
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| Keywords: | uniqueness A harmonic equation weak solution very weak boundary values |
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