IMPROVED RESULTS FOR KLEIN-GORDON-MAXWELL SYSTEMS WITH GENERAL NONLINEARITY

This paper is concerned with the following Klein-Gordon-Maxwell system. [graphic] [graphic] where 0 < omega <= m(0) and f is an element of C(R, R). By introducing some new tricks, we prove that the above system has 1) a ground state solution in the case when 0 < omega < m(0 )and f is superlinear at infinity; 2) a nontrivial solution in the zero mass case, i.e. omega = m(0) and f is super-quadratic at infinity. These results improve the related ones in the literature.