Abstract
Let be the n-dimensional upper half Euclidean space, and let m be a positive integer. In this paper, we consider the following integral system with critical exponents in whereis the Green’s function in with the Dirichlet boundary conditions. Then we use the method of moving planes in integral forms presented by Chen et al. to prove Liouville-type theorems. Under some mild growth conditions, we also establish the equivalence between IE system and corresponding PDE system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have