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Start Over Creator Ge, Wei-Gao

1. Existence and iteration of positive solutions for a singular two-point boundary value problem with a $p$-Laplacian operator

Creator:
Ma, De-xiang, Ge, Wei-Gao, and Gui, Zhan-Ji
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
iteration, symmetric and monotone positive solution, nonlinear boundary value problem, and $p$-Laplacian
Language:
English
Description:
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 $t=0,1$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public