ON SOLVABILITY OF THE SECOND-ORDER EQUATION QUAISI-LINEAR ELLIPTIC EQUATIONS WITH NONLINEAR KIND OF THE COULOMB POTENTIAL.

The work is devoted to investigation of the second-order quaisi-linear elliptic equations with slow-increasing coefficients on the Euclidean space R l , l ? 3. There, authors reject a traditional point of view at the admissible class of generalized solutions of the second-order elliptic equations in which the uniqueness theorem for Dirichlet problem "in the small" is not held. [ABSTRACT FROM AUTHOR]