this paper is concerned with a 2nth-order p-laplacian difference equation. by using the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for neumann boundary value problem and give some new results. results obtained successfully generalize and complement the existing ones.

The purpose of this note is to bring update results on boundary value problems on Lipschitz domains in R or C. We first discuss the Dirichlet problem, the Neumann problem and the d-Neumann problem in a bounded domain in R. These problems are the prototypes of coercive (or elliptic ) boundary value problems when the boundary of the domain is smooth. When the domain is only Lipschitz, solutions t...

We consider the inverse boundary value problem in the case of discrete electrical networks containing nonlinear (non-ohmic) conductors. For a fixed nonlinear electrical network, we show that under reasonable assumptions, there are well-defined Dirichletto-Neumann and Neumann-to-Dirichlet maps relating boundary voltages and boundary currents. We also generalize work of Curtis, Morrow, and others...

The narrow escape problem in diffusion theory is to calculate the mean first passage time of a diffusion process to a small target on the reflecting boundary of a bounded domain. The problem is equivalent to solving the mixed Dirichlet–Neumann boundary value problem for the Poisson equation with small Dirichlet and large Neumann parts. The mixed boundary value problem, which goes back to Lord R...

The existence of solutions of Neumann boundary value problem of second-order ordinary differential equations has been studied bymany authors; see Sun et al. 1 , Cabada and Pouso 2 , Cabada et al. 3 , Canada et al. 4 , Chu et al. 5 , Jiang, and Liu 6 , Yazidi 7 , Sun and Li 8 and the references therein. Recently, Chu et al. 5 have studied the existence of positive solution to the Neumann boundar...