Geodesic
Multiple symmetric positive solutions to four-point boundary-value problems of differential systems with \(p\)-Laplacian
Electronic journal of differential equations, Tome 2012 (2012)
In this article, we study the four-point boundary-value problem with the one-dimensional p-Laplacian

$\displaylines{ (\phi_{p_i}(u_i'))'+q_i(t)f_i(t,u_1,u_2)=0,\quad t\in(0,1),\quad i=1,2;\cr u_i(0)-g_i(u_i'(\xi))=0,\quad u_i(1)+g_i(u_i'(\eta))=0, \quad i=1,2. }$

We obtain sufficient conditions such that by means of a fixed point theorem on a cone, there exist multiple symmetric positive solutions to the above boundary-value problem. As an application, we give an example that we illustrates our results.
Classification : 34B10, 34B15, 34B18
Keywords: four-point boundary-value problem, differential system, fixed point theorem, symmetric positive solution, one-dimensional p-Laplacian 
@article{EJDE_2012__2012__a46,
     author = {Feng,  Hanying and Bai,  Donglong and Feng,  Meiqiang},
     title = {Multiple symmetric positive solutions to four-point boundary-value problems of differential systems with {\(p\)-Laplacian}},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1261.34023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a46/}
}
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AU  - Feng,  Hanying
AU  - Bai,  Donglong
AU  - Feng,  Meiqiang
TI  - Multiple symmetric positive solutions to four-point boundary-value problems of differential systems with \(p\)-Laplacian
JO  - Electronic journal of differential equations
PY  - 2012
VL  - 2012
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LA  - en
ID  - EJDE_2012__2012__a46
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%A Bai,  Donglong
%A Feng,  Meiqiang
%T Multiple symmetric positive solutions to four-point boundary-value problems of differential systems with \(p\)-Laplacian
%J Electronic journal of differential equations
%D 2012
%V 2012
%U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a46/
%G en
%F EJDE_2012__2012__a46
Feng,  Hanying; Bai,  Donglong; Feng,  Meiqiang. Multiple symmetric positive solutions to four-point boundary-value problems of differential systems with \(p\)-Laplacian. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a46/