Geodesic
Existence and iteration of positive solutions for a singular two-point boundary value problem with a $p$-Laplacian operator
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 135-152 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation $(\phi _p(u^{\prime }))^{\prime }+q(t)f(u)=0$, $01$, subject to nonlinear boundary condition. The main tool is the monotone iterative technique. Here, the coefficient $q(t)$ may be singular at $t=0,1$.
In the paper, we obtain the existence of symmetric or monotone positive solutions and establish a corresponding iterative scheme for the equation $(\phi _p(u^{\prime }))^{\prime }+q(t)f(u)=0$, $0$, 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 $t=0,1$.
Classification : 34A45, 34B10, 34B15, 34B18
Keywords: iteration; symmetric and monotone positive solution; nonlinear boundary value problem; $p$-Laplacian 
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Ma, De-xiang; Ge, Wei-Gao; 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, Tome 57 (2007) no. 1, pp. 135-152. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a11/

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