Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent 论文
1991Annales de l Institut Henri Poincaré C Analyse Non Linéaire引用 385顶会
Nonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems
摘要
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.