On boundedness of generalized solutions of elliptic differential equations with nonpower nonlinearities

Boundedness of generalized solutions of elliptic differential equations of divergence form with anisotropic nonpower nonlinearities is established. The proof of theorems on the boundedness of solutions is carried out by means of a further development of Moser's iteration technique; a preparatory feature is the derivation of an integral inequality of imbedding-theorem type for functions in anisotropic Sobolev–Orlicz spaces.
Bibliography: 28 titles.