Variational Dirichlet problem for second-order degenerate elliptic operators in the whole space
Solvability of the variational Dirichlet problem and a generalized eigenvalue problem for a class of second-order degenerate elliptic operators in the whole n -dimensional euclidian space is investigated. Formulation of the problems under consideration is connected with integro-differential sesquilinear forms that can not satisfy the coercitivity condition.