Communications of the
Korean Mathematical Society CKMS

Consider the problem $\,-\,\text{div}(|\nabla u|^{p-2}\nabla u)=|u|^{p^*-2}u \,+\,\lambda |u|^{q-2}u$ in $B,$ $ u=0 \text{ on $\partial B;$}$ where $B\subset \Bbb R^n$ is a ball, $\lambda >0$, $1

Keywords: quasilinear elliptic equations, critical Sobolev exponent, nodal solution

MSC numbers: 35B05, 35J60