Dirichlet problem with degeneration of the input data on the boundary of the domain
Viktor A. Rukavishnikov, Elena I. Rukavishnikova · Differential Equations · 2016
We define an R ? -generalized solution of the first boundary value problem for a second-order elliptic equation with degeneration of the input data on the entire boundary of the two-dimensional domain and prove the existence and uniqueness of the solution in the weighted set .