MULTIPLE SOLUTIONS OF NONHOMOGENEOUS FOR RELATED CHOQUARD'S EQUATION

This paper considers the existence of solutions for the following problem: where v(x) be a continuous function on R3,v(x) < 0, v(x) 0, (as x ); g(x) 0,g(x) 0 and g(x) E H-1 (R3). The author proves that there exists a constant C, such that g(x) H-1 C,then there are at least two solutions for the above problem.