Existence Of Solutions To Two Kinds Of Elliptic Equations With Concave-Convex Terms

In present paper,we study two kinds of elliptic equations.Firstly,we consider the following fourth-order elliptic equation:where a>0,1<q<2,4<p<6,?>0 is a parameter,the potential V?(x)=?V+(x)-V-(x)with V±=max{±V,0}.By a new approach,the existence of two positive solutions for the above equation is obtained.Secondly,we are concerned the fractional Schrodinger-Poisson systems:where s,r?(0,1],2r+4s>3,1?p<2,4<q<2s*=6/3-2s,?>0 is a parameter,-(?)s denote the fractional Laplacian,V,f,g:R3?R are continuous functions verifying some conditions.Two solutions are obtained by using Nehari manifold.