Error estimates for mixed methods
Error estimates for the assumed stresses hybrid methods in the approximation of 4th order elliptic equations
Existence of bounded biharmonic functions.
Existence of solutions to the Poisson equation in -weighted spaces
We examine the Poisson equation with boundary conditions on a cylinder in a weighted space of , p≥ 3, type. The weight is a positive power of the distance from a distinguished plane. To prove the existence of solutions we use our result on existence in a weighted L₂ space.
Existence of solutions to the Poisson equation in L₂-weighted spaces
We consider the Poisson equation with the Dirichlet and the Neumann boundary conditions in weighted Sobolev spaces. The weight is a positive power of the distance to a distinguished plane. We prove the existence of solutions in a suitably defined weighted space.
Existence of the boundary value of a polyharmonic function.