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We study the problem of existence of isoperimetric regions for large volumes,in $C^0$-locally asymptotically Euclidean Riemannian manifolds with a finitenumber of $C^0$-asymptotically Schwarzschild ends. Then we give a geometriccharacterization of these isoperimetric regions, extending previous resultscontained in [EM13b], [EM13a], and [BE13]. Moreover strengthening a little bitthe speed of convergence to the Schwarzschild metric we obtain existence ofisoperimetric regions for all volumes for a class of manifolds that we named$C^0$-strongly asymptotic Schwarzschild, extending results of [BE13]. Suchresults are of interest in the field of mathematical general relativity.

The isoperimetric problem of a complete Riemannian manifolds with a finite number of $C^0$-asymptotically Schwarzschild ends