| 二阶拟线性椭圆型方程振动性的积分平均方法 |
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| 引用本文： | 徐志庭,马东魁. 二阶拟线性椭圆型方程振动性的积分平均方法[J]. 数学季刊, 2003, 18(4): 349-357 |
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| 作者姓名： | 徐志庭 马东魁 |
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| 作者单位： | 1.Department of Mathematics，South China Normal University，Guangzhou 510631，China; 2. Department of Applied Mathematics，South China University of Technology，Guangzhou 510641，China |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofGuangdongProvince( 0 2 0 14 6) |
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| 摘 要： | § 1. IntroductionThepurposeofthispaperistostudytheoscillatorybehaviorofsolutionsofcertainquasi linearellipticequationsdiv( ｜Du｜m -2 A(x)Du) + p(x) ｜u｜m -2 u=0 ,x∈Ω Rn,(E)whereΩisanexteriordomain ,m >1 ,andfunctionsA(x) ,p(x)aretobespecifiedinthefollowingtext.Recently ,USAMI [6]consideredEq .(E)whenA(x)≡I (identitymatrix) ,andob tainedoscillationcriteriaforEq .(E)with“infiniteintegral”coefficient [cf.[6],Theorem 4].However,asfarasthepresentreferencesisconcerned ,therearefewo…
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| 关 键 词： | 拟线性椭圆方程 扰动 Riccati不等式 微分方程 积分平均 |
Oscillation Criteria Related to Integral Averaging Technique for Quasilinear Elliptic Equations |
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| XU Zhi_ting,MA Dong_kui. Oscillation Criteria Related to Integral Averaging Technique for Quasilinear Elliptic Equations[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 349-357 |
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| Authors: | XU Zhi_ting MA Dong_kui |
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| Affiliation: | XU Zhi_ting~1,MA Dong_kui~2 |
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| Abstract: | Sufficient conditions are obtained for oscillation of certain quasilinear elliptic equationsdiv(|Du|m-2A(x)Du+p(x)|u|m-2u=o,x∈Ω(∈)Rn,where Ω is an exterior domain, m＞1, and p(x) is an alternating function. The integral averaging technique is employed to establish our results. |
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| Keywords: | oscillation quasilinear elliptic equations Riccati inequality |
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