Multiple sign changing solutions for semi-linear corner degenerate elliptic equations with singular potential

We consider the Dirichlet problem of semi-linear corner-degenerate elliptic equations with singular potentials in the subcritical case. First we introduce the weighted corner type Sobolev inequality, Poincaré inequality and Hardy inequality. Then, by using the variational method and the abstract theory for sign changing solution, we obtain the existence of infinitely many sign changing solutions in the weighted corner Sobolev space.