document: Convergence of Toland 's critical points for sequences of DC functions and application to the resolution of semilinear elliptic problems We prove that if a sequence -LRB- f/sub n / -RRB- / sub n / of DC functions -LRB- difference of two convex functions -RRB- converges to a DC function f in some appropriate way and if u/sub n / is a critical point of f/sub n / , in the sense described by Toland -LRB- 1978 , 1979 -RRB- , and is such that -LRB- u/sub n / -RRB- / sub n / converges to u , then u is a critical point of f , still in Toland 's sense . We also build a new algorithm which searches for this critical point u and then apply it in order to compute the solution of a semilinear elliptic equation
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