On the oscillation of forced second order mixed-nonlinear elliptic equations

Zhiting Xu. "On the oscillation of forced second order mixed-nonlinear elliptic equations." Annales Polonici Mathematici 98.2 (2010): 169-188. <http://eudml.org/doc/280924>.

@article{ZhitingXu2010,
abstract = {Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations ⎧ $div(A(x)||∇y||^\{p-1\}∇y) + ⟨b(x),||∇y||^\{p-1\}∇y⟩ + C(x,y) = e(x)$, ⎨ ⎩ $C(x,y) = c(x)|y|^\{p-1\}y + ∑_\{i=1\}^m c_i(x)|y|^\{p_i-1\}y$$ $under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with mixed nonlinearities, and include some known oscillation results in the literature},
author = {Zhiting Xu},
journal = {Annales Polonici Mathematici},
keywords = {mixed-nonlinear elliptic differential equations; oscillation theorems},
language = {eng},
number = {2},
pages = {169-188},
title = {On the oscillation of forced second order mixed-nonlinear elliptic equations},
url = {http://eudml.org/doc/280924},
volume = {98},
year = {2010},
}

TY - JOUR
AU - Zhiting Xu
TI - On the oscillation of forced second order mixed-nonlinear elliptic equations
JO - Annales Polonici Mathematici
PY - 2010
VL - 98
IS - 2
SP - 169
EP - 188
AB - Oscillation theorems are established for forced second order mixed-nonlinear elliptic differential equations ⎧ $div(A(x)||∇y||^{p-1}∇y) + ⟨b(x),||∇y||^{p-1}∇y⟩ + C(x,y) = e(x)$, ⎨ ⎩ $C(x,y) = c(x)|y|^{p-1}y + ∑_{i=1}^m c_i(x)|y|^{p_i-1}y$$ $under quite general conditions. These results are extensions of the recent results of Sun and Wong, [J. Math. Anal. Appl. 334 (2007)] and Zheng, Wang and Han [Appl. Math. Lett. 22 (2009)] for forced second order ordinary differential equations with mixed nonlinearities, and include some known oscillation results in the literature
LA - eng
KW - mixed-nonlinear elliptic differential equations; oscillation theorems
UR - http://eudml.org/doc/280924
ER -