| OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS |
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| 作者姓名： | Zhang Binggen Zhao Tao B. S. Lalli |
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| 作者单位： | ZHANG BINGGEN;ZHAO TAO;B. S. LALLI (Department of Mathematics，Ocean University of Qingdao，Qingdao 266003，China.)(Department of Mathematics，Arizona State University，U.S.A.)(Departmemt of Mathematics，University of Saskatchewan，Canada.) |
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| 摘 要： | 1.IntroductionOscillationtheoryforellipticdifferentialequationswithvariablecoefficielltshasbeenextensivelydevelopedinrecentyearsbymanyauthors(seee-g-,Allegretto1,2l,Bugir'],Fiedler5]'KitamuraandKusano'],Kural4]KusanoandNaitol1o]'NaitoandYoshidal12]'NoussairandSwansonl3'14]'Swansonl15'l6]andthereferencescitedtherein).Inthispaper,weareconcernedwiththeoscillatorybehaviorofsolutionsofsecondorderellipticdifferelltialequatiollswithalternqtingcoefficients.Asusual,pointsinn-dimensionalEucli…
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| 关 键 词： | 非线性二次方程 椭圆微分方程 摆动标准 数学分析 |
| 收稿时间： | 1993/9/20 0:00:00 |
OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDER
ELLIPTIC DIFFERENTIAL EQUATIONS |
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| Zhang Binggen,Zhao Tao,B. S. Lalli.OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,Series B,1996,17(1):89-102. |
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| Authors: | Zhang Binggen Zhao Tao and B S Lalli |
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| Institution: | DepartmentofMathematics,OceanUniversityofQingdao,Qingdao266003,China. |
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| Abstract: | The second order elliptic differential equations
$$ L_1(y;x)=\sum_{i,j=1}^{n}D_i A_{ij}(x)D_j y]+p(x)f( y) = 0
\tag {1.1} $$
and
$$ L_2(y;x)=\Delta y+p(x)|y|^{\gamma}\roman{sign} y=0,1\not
=\gamma>0 \tag{1.2} $$
are considered in an exterior domain $\Omega\subset R^n $ , $n\geq 2 $,
where $ p $ can chang sign. Some new sufficient conditions for the
oscillation of solutions of (1.1) and (1.2) are established. |
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| Keywords: | Oscillation Nonlinear elliptic equation Riccati inequality |
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