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Oscillation of semilinear elliptic equations with integrable coefficients
by Zhiting Xu

Vol. 1 No. 4 (2006) P.523~P.535

ABSTRACT

Some oscillation criteria for the second order semilinear elliptic di erential 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).

KEYWORDS
Oscillation, semilinear elliptic equations, second order, inte- grable coecient

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35B05, 35J60, 34C10

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