Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems

We proved a multiplicity result for strongly indefinite semilinear elliptic systems Δu+u=±1/(1+|x|a)|v|p 2v in N, Δv+v=±1/(1+|x|b)|u|q 2u in N where a and b are positive numbers which are in the range we shall specify later.