Some new oscillation criteria for second order elliptic equations with damping

Rong-Kun Zhuang, and Zheng-an Yao. "Some new oscillation criteria for second order elliptic equations with damping." Annales Polonici Mathematici 86.1 (2005): 31-42. <http://eudml.org/doc/280529>.

@article{Rong2005,
abstract = {Some new oscillation criteria are obtained for second order elliptic differential equations with damping $∑_\{i,j=1\}^\{n\} D_i[A_\{ij\}(x)D_jy] + ∑_\{i=1\}^\{n\} b_i(x)D_iy + q(x)f(y) = 0$, x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.},
author = {Rong-Kun Zhuang, Zheng-an Yao},
journal = {Annales Polonici Mathematici},
keywords = {second order elliptic equation with damping; oscillation; generalized partial Riccati transformation; domain criteria},
language = {eng},
number = {1},
pages = {31-42},
title = {Some new oscillation criteria for second order elliptic equations with damping},
url = {http://eudml.org/doc/280529},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Rong-Kun Zhuang
AU - Zheng-an Yao
TI - Some new oscillation criteria for second order elliptic equations with damping
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 1
SP - 31
EP - 42
AB - Some new oscillation criteria are obtained for second order elliptic differential equations with damping $∑_{i,j=1}^{n} D_i[A_{ij}(x)D_jy] + ∑_{i=1}^{n} b_i(x)D_iy + q(x)f(y) = 0$, x ∈ Ω, where Ω is an exterior domain in ℝⁿ. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.
LA - eng
KW - second order elliptic equation with damping; oscillation; generalized partial Riccati transformation; domain criteria
UR - http://eudml.org/doc/280529
ER -