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http://dx.doi.org/10.4134/JKMS.2010.47.6.1183

ANNULUS CRITERIA FOR OSCILLATION OF SECOND ORDER DAMPED ELLIPTIC EQUATIONS

Xu, Zhiting (SCHOOL OF MATHEMATICAL SCIENCES SOUTH CHINA NORMAL UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.6, 2010 , pp. 1183-1196 More about this Journal

Abstract

Some annulus oscillation criteria are established for the second order damped elliptic differential equation $\sum\limits_{i,j=1}^N D_i[a_{ij}(x)D_jy]+\sum\limits_{i=1}^Nb_i(x)D_iy+C(x,y)=0$ under quite general assumption that they are based on the information only on a sequence of annuluses of $\Omega(r_0)$ rather than on the whole exterior domain $\Omega(r_0)$ . Our results are extensions of those due to Kong for ordinary differential equations. In particular, the results obtained here can be applied to the extreme case such as ${\int}_{\Omega(r0)}c(x)dx=-\infty$ .

Keywords

oscillation; annulus criteria; elliptic equations; second order; damped;

Citations & Related Records

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Reference

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