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

Title:

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

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0dffb108-fadf-4fe5-8399-d481725694c5
uuid:0dffb108-fadf-4fe5-8399-d481725694c5

Subject:

iteration, symmetric and monotone positive solution, nonlinear boundary value problem, and $p$-Laplacian

Type:

model:article and TEXT

Format:

bez média and svazek

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 $t=0,1$.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

135-152

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:1

Harvested from:

CDK

Metadata only:

false