Multiple solutions for superlinear Klein-Gordon-Maxwell equations

Abstract

In this paper, we consider the following Klein-Gordon-Maxwell equationswhere ω > 0 is a constant, u, φ : R 3 → R, V : R 3 → R is a potential function. By assuming the coercive condition on V and some new superlinear conditions on f , we obtain two nontrivial solutions when h is nonzero and infinitely many solutions when f is odd in u and h ≡ 0 for above equations.