On the Hénon equation : asymptotic profile of ground states, I
Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006) no. 6, pp. 803-828. 
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     title = {On the {H\'enon} equation : asymptotic profile of ground states, {I}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Byeon, Jaeyoung; Wang, Zhi-Qiang. On the Hénon equation : asymptotic profile of ground states, I. Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006) no. 6, pp. 803-828. doi : 10.1016/j.anihpc.2006.04.001. http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.001/

[1] Brezis H., Symmetry in nonlinear PDE's, in: Differential Equations: La Pietra 1996 (Florence), Proc. Sympos. Pure Math., vol. 65, Amer. Math. Soc., Providence, 1999, pp. 1-12. | MR | Zbl

[2] Byeon J., Existence of large positive solutions of some nonlinear elliptic equations on singularly perturbed domains, Comm. Partial Differential Equations 22 (1997) 1731-1769. | MR | Zbl

[3] Byeon J., Wang Z.-Q., On the Hénon equation: asymptotic profile of ground states, II, J. Differential Equations 216 (2005) 78-108. | MR | Zbl

[4] Cao D., Peng S., The asymptotic behavior of the ground state solutions for Hénon equation, J. Math. Anal. Appl. 278 (2003) 1-17. | MR | Zbl

[5] D. Cao, S. Peng, S. Yan, Asymptotic behavior of ground state solutions for the Hénon equation. | Zbl

[6] Chen G., Zhou J., Ni W.M., Algorithms and visualization for solutions of nonlinear elliptic equations, Int. J. Bifurcation and Chaos 10 (1997) 1731-1769. | MR | Zbl

[7] Gidas B., Ni W.N., Nirenberg L., Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979) 209-243. | MR | Zbl

[8] Gilbarg D., Trudinger N., Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983. | MR | Zbl

[9] Hénon M., Numerical experiments on the stability of spherical stellar systems, Astronom. Astrophys. 24 (1973) 229-238.

[10] Kawohl B., Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math., vol. 1150, Springer-Verlag, Berlin, 1985. | MR | Zbl

[11] Ni W.M., A nonlinear Dirichlet problem on the unit ball and its applications, Indiana Univ. Math. J. 31 (1982) 801-807. | MR | Zbl

[12] Protter H., Weinberger H.F., Maximum Principles in Differential Equations, Springer-Verlag, New York, 1984. | MR | Zbl

[13] Serra E., Non radial positive solutions for the Hénon equation with critical growth, Calc. Var. Partial Differential Equations 23 (2005) 301-326. | MR | Zbl

[14] Smets D., Su J., Willem M., Non-radial ground states for the Hénon equation, Comm. Contemp. Math. 4 (2002) 467-480. | MR | Zbl

[15] Smets D., Willem M., Partial symmetry and asymptotic behavior for some elliptic variational problems, Calc. Var. Partial Differential Equations 18 (2003) 57-75. | MR | Zbl

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