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| OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDERELLIPTIC DIFFERENTIAL EQUATIONS |
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Citation： |
Zhang Binggen,Zhao Tao,B. S. Lalli.OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDERELLIPTIC DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics B,1996,17(1):89~102 |
| Page view： 1038
Net amount： 839 |
Authors： |
Zhang Binggen; Zhao Tao;B. S. Lalli |
Foundation： |
Project supported by the National Natural Science
Foundation of 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. |
Keywords： |
Oscillation, Nonlinear elliptic equation, Riccati
inequality |
Classification： |
35J60 |
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