Existence of Solutions to a Class of Nonlinear Degenerate Elliptic Equation with Lower Order Terms

In this paper, we mainly study a class of degenerate elliptic equations with lower order terms which growth like sub-p-order growth with respect to the modulus of the gradient of u. Furthermore, the main differential operator may not be coercive on the same space as u becomes large. In order to overcome this difficulty stated above, by using a prior estimation method and approximation theory, we proved the existence and regularity of solutions to such problems.