Geodesic
The barrier strip technique for a boundary value problem with \(p\)-Laplacian
Electronic journal of differential equations, Tome 2013 (2013)
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__a109,
     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},
     year = {2013},
     volume = {2013},
     zbl = {1290.34026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a109/}
}
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AU  - Tersian,  Stepan A.
TI  - The barrier strip technique for a boundary value problem with \(p\)-Laplacian
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VL  - 2013
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%A Tersian,  Stepan A.
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%J Electronic journal of differential equations
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%F EJDE_2013__2013__a109
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__a109/