Existence and iteration of positive solutions for a singular two-point boundary value problem with a -Laplacian operator
De-xiang Ma; Weigao Ge; Zhan-Ji Gui
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 1, page 135-152
- ISSN: 0011-4642
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topMa, De-xiang, Ge, Weigao, and Gui, Zhan-Ji. "Existence and iteration of positive solutions for a singular two-point boundary value problem with a $p$-Laplacian operator." Czechoslovak Mathematical Journal 57.1 (2007): 135-152. <http://eudml.org/doc/31119>.
@article{Ma2007,
abstract = {In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation $(\phi _p(u^\{\prime \}))^\{\prime \}+q(t)f(u)=0$, $0<t<1$, where $\phi _p(s):=|s|^\{p-2\}s$, $p>1$, subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient $q(t)$ may be singular at $t=0,1$.},
author = {Ma, De-xiang, Ge, Weigao, Gui, Zhan-Ji},
journal = {Czechoslovak Mathematical Journal},
keywords = {iteration; symmetric and monotone positive solution; nonlinear boundary value problem; $p$-Laplacian; iteration; symmetric and monotone positive solution; nonlinear boundary value problem; -Laplacian},
language = {eng},
number = {1},
pages = {135-152},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and iteration of positive solutions for a singular two-point boundary value problem with a $p$-Laplacian operator},
url = {http://eudml.org/doc/31119},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Ma, De-xiang
AU - Ge, Weigao
AU - Gui, Zhan-Ji
TI - Existence and iteration of positive solutions for a singular two-point boundary value problem with a $p$-Laplacian operator
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 135
EP - 152
AB - In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation $(\phi _p(u^{\prime }))^{\prime }+q(t)f(u)=0$, $0<t<1$, where $\phi _p(s):=|s|^{p-2}s$, $p>1$, subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient $q(t)$ may be singular at $t=0,1$.
LA - eng
KW - iteration; symmetric and monotone positive solution; nonlinear boundary value problem; $p$-Laplacian; iteration; symmetric and monotone positive solution; nonlinear boundary value problem; -Laplacian
UR - http://eudml.org/doc/31119
ER -
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