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