Uniqueness of Solutions to Anisotropic Elliptic Equations with Nonpower Nonlinearities in Unbounded Domains

Аннотация

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 nonlinearities. We construct an example demonstrating that the class of equations under consideration is larger than the class of equations with power nonlinearites.