Geodesic
Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping
Electronic journal of differential equations, Tome 2009 (2009)
We establish oscillation criteria for the second-order elliptic differential equation

$ \nabla\cdot(A(x)\nabla y)+B^T(x)\nabla y+q(x)f(y)=e(x), \quad x\in\Omega, $

where $\Omega $ is an exterior domain in $\mathbb{R}^N$. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of annulus of $\Omega $, rather than on the whole exterior domain $\Omega $. Both the cases when $\frac{\partial b_i}{\partial x_i}$ exists for all i and when it does not exist for some i are considered.
Classification : 35J60, 34C10
Keywords: nonlinear elliptic differential equation, second order, oscillation, annulus criteria 
@article{EJDE_2009__2009__a5,
     author = {Zhuang,  Rong-Kun},
     title = {Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1177.35083},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a5/}
}
TY  - JOUR
AU  - Zhuang,  Rong-Kun
TI  - Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping
JO  - Electronic journal of differential equations
PY  - 2009
VL  - 2009
UR  - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a5/
LA  - en
ID  - EJDE_2009__2009__a5
ER  - 
%0 Journal Article
%A Zhuang,  Rong-Kun
%T Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping
%J Electronic journal of differential equations
%D 2009
%V 2009
%U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a5/
%G en
%F EJDE_2009__2009__a5
Zhuang,  Rong-Kun. Annulus oscillation criteria for second order nonlinear elliptic differential equations with damping. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a5/