@article{AIHPC_2008__25_3_425_0, author = {Wei, Juncheng and Ye, Dong and Zhou, Feng}, title = {Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {25}, year = {2008}, pages = {425-447}, doi = {10.1016/j.anihpc.2007.02.001}, mrnumber = {2422074}, zbl = {1155.35037}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2008__25_3_425_0} }
Wei, Juncheng; Ye, Dong; Zhou, Feng. Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation. Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) pp. 425-447. doi : 10.1016/j.anihpc.2007.02.001. http://gdmltest.u-ga.fr/item/AIHPC_2008__25_3_425_0/
[1] Harmonic radius and concentration of energy hyperbolic radius and Liouville’s equations and , SIAM Rev. 38 (2) (1996) 191-238. | MR 1391227 | Zbl 0857.35034
, ,[2] Construction of singular limits for a semilinear elliptic equation in dimension 2, Calc. Var. Partial Differential Equations 6 (1) (1998) 1-38. | MR 1488492 | Zbl 0890.35047
, ,[3] Uniform estimates and blow-up behavior for solutions of in two dimensions, Comm. Partial Differential Equations 16 (8-9) (1991) 1223-1253. | MR 1132783 | Zbl 0746.35006
, ,[4] A special class of stationary flows for two-dimensional Euler-equations: a statistical mechanics description, Comm. Math. Phys. 143 (1992) 501-525. | MR 1145596 | Zbl 0745.76001
, , , ,[5] A special class of stationary flows for two-dimensional Euler-equations: a statistical mechanics description, Part II, Comm. Math. Phys. 174 (1995) 229-260. | MR 1362165 | Zbl 0840.76002
, , , ,[6] An Introduction to the Study of Stellar Structure, Dover, New York, 1957. | MR 92663 | Zbl 0079.23901
,[7] Surfaces with prescribed Gauss curvature, Duke Math. J. 105 (2) (2000) 309-353. | MR 1793614 | Zbl 1023.53005
, ,[8] Classification of solutions of some nonlinear elliptic equations, Duke Math. J. 63 (1991) 615-623. | MR 1121147 | Zbl 0768.35025
, ,[9] Singular limits in Liouville-type equations, Calc. Var. Partial Differential Equations 24 (2005) 47-81. | MR 2157850 | Zbl 1088.35067
, , ,[10] On the existence of blowing-up solutions for a mean field equation, Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005) 227-257. | Numdam | MR 2124164 | Zbl 1129.35376
, , ,[11] Some problems in the theory of quasilinear equations, Amer. Math. Soc. Transl. 29 (1963) 295-381. | MR 153960 | Zbl 0127.04901
,[12] Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979) 209-243. | MR 544879 | Zbl 0425.35020
, , ,[13] Quasilinear problems driven by positive sources, Arch. Rat. Mech. Anal. 49 (1973) 241-269. | MR 340701 | Zbl 0266.34021
, ,[14] Harnack type inequality: the method of moving planes, Comm. Math. Phys. 200 (1999) 421-444. | MR 1673972 | Zbl 0928.35057
,[15] Blow-up analysis for solutions of in dimension two, Indiana Univ. Math. J. 43 (4) (1994) 1255-1270. | MR 1322618 | Zbl 0842.35011
, ,[16] Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains, J. Differential Eqnuations 86 (1990) 367-391. | MR 1064016 | Zbl 0734.35073
,[17] Topological degree for mean field equations on , Duke Math. J. 104 (3) (2000) 501-536. | MR 1781481 | Zbl 0964.35038
,[18] Convergence for a Liouville equation, Comm. Math. Helv. 76 (2001) 506-514. | MR 1854696 | Zbl 0987.35056
, ,[19] Variation d'un point retournement par rapport au domaine, Comm. Partial Differential Equations 4 (1979) 1263-1297. | MR 546644 | Zbl 0422.35039
, , ,[20] Equations of gas combustion: S-shaped bifurcation and mushrooms, J. Differential Equations 134 (1997) 183-215. | MR 1432094 | Zbl 0876.35037
, ,[21] Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially dominated nonlinearities, Asymptotic Anal. 3 (1990) 173-188. | MR 1061665 | Zbl 0726.35011
, ,[22] Radial solutions for on annuli in higher dimensions, J. Differential Equations 100 (1992) 137-161. | MR 1187866 | Zbl 0776.35047
, ,[23] Radial and non-radial solutions of on an annulus of , , J. Differential Equations 101 (1993) 103-138. | MR 1199485 | Zbl 0799.35089
,[24] Eigenfunctions of the equation , Soviet Math. Dokl. 6 (1965) 1408-1411. | MR 192184 | Zbl 0141.30202
,[25] Some structures of the solution set from stationary system of chemotaxis, Adv. Math. Sci. Appl. 10 (2000) 191-224. | MR 1769174 | Zbl 0999.35031
, ,[26] Bubbling solutions for an anisotropic Emden-Fowler equation, Calc. Var. Partial Differential Equations 28 (2007) 217-247. | MR 2284567 | Zbl 1159.35402
, , ,[27] Une remarque sur le comportement asymptotique des solutions de , C. R. Acad. Sci. Paris I 325 (1997) 1279-1282. | MR 1490413 | Zbl 0895.35014
,[28] A generalized two dimensional Emden-Fowler equation with exponential nonlinearity, Calc. Var. Partial Differential Equations 13 (2001) 141-158. | MR 1861095 | Zbl 1077.35048
, ,