UNIQUENESS OF SOLUTIONS TO ANISOTROPIC ELLIPTIC EQUATIONS WITH NONPOWER NONLINEARITIES IN UNBOUNDED DOMAINS

摘要

We establish the uniqueness of a solution to the Dirichlet problem for a class of anisotropic second order elliptic equations with lower-order terms and nonpower non-linearities. We construct an example demonstrating that the class of equations under consideration is larger than the class of equations with power nonlinearites. Bibliography: 6 titles.