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.
@article{AIHPC_2006__23_6_803_0,
     author = {Byeon, Jaeyoung and Wang, Zhi-Qiang},
     title = {On the {H\'enon} equation : asymptotic profile of ground states, {I}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {803--828},
     publisher = {Elsevier},
     volume = {23},
     number = {6},
     year = {2006},
     doi = {10.1016/j.anihpc.2006.04.001},
     mrnumber = {2271694},
     zbl = {05138719},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.001/}
}
TY  - JOUR
AU  - Byeon, Jaeyoung
AU  - Wang, Zhi-Qiang
TI  - On the Hénon equation : asymptotic profile of ground states, I
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2006
SP  - 803
EP  - 828
VL  - 23
IS  - 6
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.001/
DO  - 10.1016/j.anihpc.2006.04.001
LA  - en
ID  - AIHPC_2006__23_6_803_0
ER  - 
%0 Journal Article
%A Byeon, Jaeyoung
%A Wang, Zhi-Qiang
%T On the Hénon equation : asymptotic profile of ground states, I
%J Annales de l'I.H.P. Analyse non linéaire
%D 2006
%P 803-828
%V 23
%N 6
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.001/
%R 10.1016/j.anihpc.2006.04.001
%G en
%F AIHPC_2006__23_6_803_0
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

Cité par Sources :