Entire nodal solutions to the pure critical exponent problem for the $p$-Laplacian

Mónica Clapp, Luis Lopez Rios

We establish the existence of multiple sign-changing solutions to the quasilinear critical problem $$-{\Delta }_{p}u=|u{|}^{p^{\ast }-2}u,u\in D^{1,p}({\mathbb{R}}^N),$$ for $N\ge 4$, whe…