Geodesic
The barrier strip technique for a boundary value problem with $p$-Laplacian
Electronic Journal of Differential Equations, Tome 2013 (2013).

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

Summary: We study the solvability of the boundary value problem $$ (\phi_p(x'))'=f(t,x,x'),\quad x(0)=A,\;x'(1)=B, $$ where $\phi_p(s)=s|s|^{p-2}$, using the barrier strip type arguments. We establish the existence of $C^2[0,1]$-solutions, restricting our considerations to $p\in(1,2]$. The existence of positive monotone solutions is also considered.
Classification : 34B15, 34B18
Keywords: boundary value problem, second order differential equation, p-Laplacian 
@article{EJDE_2013__2013__a9,
     author = {Kelevedjiev, Petio S. and Tersian, Stepan A.},
     title = {The barrier strip technique for a boundary value problem with $p${-Laplacian}},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a9/}
}
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Kelevedjiev, Petio S.; Tersian, Stepan A. The barrier strip technique for a boundary value problem with $p$-Laplacian. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a9/