We are interested in existence and regularity results concerning the solution to the following problem
$$\left\{ \begin{array}{l}
- \Delta u + {u^8} = \frac{{f\left( x \right)}}{{{u^\gamma }}}in\,\Omega \\
u > 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,in\,\Omega \\
u = 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...... hiện toàn bộ