EXISTENCE RESULTS OF p-LAPLACIAN BVP WITH NEUMANN BOUNDARY CONDITIONS

In this paper, we consider the following Neumann boundary problem -(φp(u'(x)))' = lu(x)lp-λ ; x∈ (0,1), u' (0) = 0 = u' (1) Where λ>0 and p>1 are parameters and φp(x)=lxlp-2x for all x≠ 0 and φp(0)=0 where (φp(u' ))' is the one dimensional p-Laplasion.

Keywords:

Existence solutions , Interior critical points , Quadrature mathod , Neumann boundary condition , p-Laplacian problem