Study on the Solutions of a Class of Nonlinear Degenerate Elliptic Equations with Lower Order Terms

In this paper, we mainly study a class of nonlinear elliptic equations with lower-order terms. By selecting appropriate test functions, using a prior estimation method and classical approximation theory, we prove the existence and regularity of weak solutions to such problems, revealing the regularization effect of the interaction between the zero-order coefficient and the free term.