@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://archive.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://archive.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://archive.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://archive.numdam.org/articles/10.1016/j.anihpc.2006.04.001/
[1] 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] 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] On the Hénon equation: asymptotic profile of ground states, II, J. Differential Equations 216 (2005) 78-108. | MR | Zbl
, ,[4] 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] Algorithms and visualization for solutions of nonlinear elliptic equations, Int. J. Bifurcation and Chaos 10 (1997) 1731-1769. | MR | Zbl
, , ,[7] Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979) 209-243. | MR | Zbl
, , ,[8] Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1983. | MR | Zbl
, ,[9] Numerical experiments on the stability of spherical stellar systems, Astronom. Astrophys. 24 (1973) 229-238.
,[10] Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math., vol. 1150, Springer-Verlag, Berlin, 1985. | MR | Zbl
,[11] A nonlinear Dirichlet problem on the unit ball and its applications, Indiana Univ. Math. J. 31 (1982) 801-807. | MR | Zbl
,[12] Maximum Principles in Differential Equations, Springer-Verlag, New York, 1984. | MR | Zbl
, ,[13] Non radial positive solutions for the Hénon equation with critical growth, Calc. Var. Partial Differential Equations 23 (2005) 301-326. | MR | Zbl
,[14] Non-radial ground states for the Hénon equation, Comm. Contemp. Math. 4 (2002) 467-480. | MR | Zbl
, , ,[15] Partial symmetry and asymptotic behavior for some elliptic variational problems, Calc. Var. Partial Differential Equations 18 (2003) 57-75. | MR | Zbl
, ,Cité par Sources :