On the existence of solutions for discrete elliptic boundary value problems. (English) Zbl 1204.35096
Summary: Using critical point theory and some monotonicity results, we consider the existence of solutions to a boundary value problem connected with the discrete elliptic equation with a positive parameter.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35A15 | Variational methods applied to PDEs |
| 39A10 | Additive difference equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
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