Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent

  • Zheng-Chao Han

    Department of Mathematics, Stanford University, Stanford, CA 94305, U.S.A.

Abstract

We study the asymptotic behavior of positive solutions of semilinear equations with nearly critical nonlinearity. The solutions are shown to blow up at exactly one point. The exact rate and location of blowing up are studied.

Résumé

On étudie le comportement asymptotique de solutions positives d’équations elliptiques semi-linéaires présentant une non-linéarité presque critique. Les solutions explosent en un seul point, et on étudie la localisation de ce point et le rythme d’explosion.

Cite this article

Zheng-Chao Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Ann. Inst. H. Poincaré Anal. Non Linéaire 8 (1991), no. 2, pp. 159–174

DOI 10.1016/S0294-1449(16)30270-0