Liouville theorem on a half-space for biharmonic problem with Dirichlet boundary condition

Foued Mtiri, Abdelbaki Selmi, Cherif Zaid

We investigate here the nonlinear elliptic Hénon type equation: $$\D^{2} u= |x|^a|u|^{p-1}u \; \,\,\mbox{in}\,\,\,\, \R^{n}_{+}, \quad \quad u =\frac{\partial u}{\partial x_n} = 0…