2006 / December Volume 1 No.4
Oscillation of semilinear elliptic equations with integrable coefficients
| Published Date |
2006 / December
|
|---|---|
| Title | Oscillation of semilinear elliptic equations with integrable coefficients |
| Author | |
| Keyword | |
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| Pagination | 523-535 |
| Abstract | Some oscillation criteria for the second order semilinear elliptic dierential equation
$\sum^N_{i,j=1} D_i[a_{ij}(x)D_j y] + p(x)f(y) =0, \quad x \in \Omega(r_0), \quad (\text{E})$ are established. Particularly, Hille's theorem [Trans. Amer. Math. Soc. 64, 234-252(1948) ] is extended to (E). |
| AMS Subject Classification |
35B05, 35J60, 34C10
|
| Received |
2004-10-06
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