Let consider products in Reimannian and Weyl spaces with consideration that this scientific paper takes into account symmetric affine connections space provided 3 base manifolds are studied. Results gained operator formed from the enlarged differiantable covariant. Appreciating connection of covariant fundamental tensors Weyl’s space. Tensor is appreciated considered.

The aim of this article is to establish the existence of at least three‎ ‎solutions for a perturbed $p$-biharmonic equation depending on two‎ ‎real parameters‎. ‎The approach is based on variational methods‎.