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17] M. H´enon, Numerical experiments on the stability of spherical stellar systems. Astronomy and Astrophysics 24 (1973), 229–238. [18] Y. Li, P. Liu, A Moser–Trudinger inequality on the boundary of a compact Riemann surface. Math. Zeit. 250 (2005), 363–386. [19] E. Lami Dozo, O. Torn´e Symmetry and symmetry breaking for minimizers in the trace inequality. Commun. Contemp. Math. 7 (2005) no. 6, 727–746. 30 [20] J. Moser, A sharp form of an inequality by N. Trudinger. Indiana Univ. Math. J. 20 (1970/71), 1077–1092.

Commun. Contemp. Math. 4 (2002), no. 3, 467–480. [26] D. Smets, M. Willem, Partial symmetry and asymptotic behavior for some elliptic variational problems. Calc. Var. and PDEs 18 (2003), 57–75. [27] Y. Yang, Extremal functions for Moser–Trudinger inequalities on 2–dimensional compact Riemannian manifolds with boundary. Int. Jour. of Math. 17 (2006) no. 3, 313– 330.

Zeit. 250 (2005), 363–386. [19] E. Lami Dozo, O. Torn´e Symmetry and symmetry breaking for minimizers in the trace inequality. Commun. Contemp. Math. 7 (2005) no. 6, 727–746. 30 [20] J. Moser, A sharp form of an inequality by N. Trudinger. Indiana Univ. Math. J. 20 (1970/71), 1077–1092. –M. Ni, A nonlinear Dirichlet problem on the unit ball and its applications. Indiana Univ. Math. Jour. 31 (1982), no. 6, 801–807. [22] A. Pistoia, E. Serra, Multi–peak solutions for the H´enon equation with slightly subcritical growth.

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