Positive Solutions For Singular Elliptic Equations Involving Hardy-Sobolev-Maz'ya Type With Neumann Boundary

In this paper,we study the existence of positive solutions of the singular semilinear elliptic equation under the Neumann boundary condition involving Hardy-Sobolev-Maz'ya inequality-△u-λ(?)+μu=(?) in a bounded domainΩwith smooth boundary in RN where x=(y,z)∈Rk×Rn-k,2(?)k2;λ=0 when k=2.0(?)t<2 and pt=(?). In this paper,we study when t=2-(?),that is the case pt=1+ (?).We obtain under certain conditions,the existence of nontrivial solution of the problem.To approach this,we return to the Mountain pass theorem.