Geodesic
An existence result for minimal spheres in manifolds boundary
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 11-15

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We prove the existence of a not homotopically trivial minimal sphere in a 3-manifold with boundary, obtained by deleting an open connected subset from a compact Riemannian oriented 3-manifold with boundary, having trivial second homotopy group. 
Rosset, Edi. An existence result for minimal spheres in manifolds boundary. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 1 (1990) no. 1, pp. 11-15. http://geodesic.mathdoc.fr/item/RLIN_1990_9_1_1_a2/
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     mrnumber = {MR1081820},
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