Existence of least energy solutions to coupled elliptic systems with critical nonlinearities.
This paper is devoted to the study of some nonlinear degenerated elliptic equations, whose prototype is given by where is a bounded open set of () with and under some growth conditions on the function and where is assumed to be in We show the existence of renormalized solutions for this non-coercive elliptic equation, also, some regularity results will be concluded.