Solvability Of The P(x)-Kirchhoff Problem With Singular Terms

In this paper,we study the existence of multiple solutions for a class of p(x)Kirchhoff type questions involving singular terms.By using the Nehari manifold,Ekeland's variational principle and systemtric mountain pass theorem and other variational methods.Firstly,we consider the following p(x)-Kirchhoff type equations with singular nonlinear terms where ?(?)RN(N?3)is a smooth bounded domain with boundary (?)?,a(x)?L?(?)with a(x)>0,?:=??1/p(x)(|?u|p(x)+a(x)|u|p(x)dx,M(t)is a continuous function,(?)u/(?)v is the outer unit normal derivative on (?)Q.b(x),c(x)? C(?)with b(x),c(x)>0,?>0 is a real parameter,?(x)?(0,1)is a continuous function,0<1-?(x)<10 are constants,p ? C(?)with 10 is a real parameter,c(x),d(x)>0,10 are constants,?>0 is a real parameter,r(x)? C(?),1