Multiple solutions for the $p-$laplace operator with critical growth

Pablo L. De Nápoli, Julián Fernández Bonder, Analía Silva

In this note we show the existence of at least three nontrivial solutions to the following quasilinear elliptic equation $-{\Delta }_{p}u=|u{|}^{p^{\ast }-2}u+\lambda f(x,u)$ in a smooth bounded domai…