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).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a46/}
}
TY  - JOUR
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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a46/
LA  - en
ID  - EJDE_2012__2012__a46
ER  - 
%0 Journal Article
%A Feng, Hanying
%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
%I mathdoc
%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/