A minimizing problem of a polyharmonic operator with Critical Exponent

Asma Benhamida Rejeb Hadiji, Habib Yazidi

In this work, we study the two following minimization problems for $r\in {\mathbb{N}}^{\ast }$, \begin{equation*} \begin{array}{ccc} S_{0,r}(φ)=\displaystyle\inf_{u\in H_{0}^{r}(Ω)\,|u+…