Semilinear Dirichlet problem with nearly critical exponent, asymptotic location of hot spots

Manuscripta Mathematica

Volumn 94, Issue 3, 1997, Pages 337-346

  Martin, Flucher ^a   Juncheng, Wei ^b  

^a UNIVERSITY OF BASEL   (Switzerland)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Concentration; Critical Sobolev exponent; Maximum point; Semilinear elliptic equation

Indexed keywords

EID: 0039462574     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02677858     Document Type: Article

References (8)

1. (n+2)/(n-2). SIAM Rev. 38, 2 (1996), 191-238.
2. BRÉZIS, H., AND PELETIER, L. A. Asymptotics for elliptic equations involving critical growth. In Partial differential equations and the calculus of variations, Vol. I, vol. 1 of Progr. Nonlinear Differential Equations Appl. Birkhäuser Boston, Boston, MA, 1989, pp. 149-192.
3. FLUCHER, M. Analysis of low energy limits. Progress in Nonlinear Differential equations and their Applications. Birkhäuser, to appear.
4. HAN, Z.-C. Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Ann. Inst. H. Poincaré Anal. Non Linéaire 8, 2 (1991), 159-174.
5. REN, X., AND WEI, J. On a two-dimensional elliptic problem with large exponent in nonlinearity. Trans. Amer. Math. Soc. 343, 2 (1994), 749-763.
6. REN, X., AND WEI, J. Single-point condensation and least-energy solutions. Proc. Amer. Math. Soc. 124, 1 (1996), 111-120.
7. REY, O. Proof of two conjectures of H. Brézis and L. A. Peletier. Manuscripta Math. 65, 1 (1989), 19-37.
8. WEI, J. Asymptotic behavior of least energy solutions of a semilinear Dirichlet problem involving critical Sobolev exponent. J. Math. Soc. of Jap., 1 (1998).