Two dimensional elliptic equation with critical nonlinear growth
نویسندگان
چکیده
منابع مشابه
Two Dimensional Elliptic Equation with Critical Nonlinear Growth
We study the asymptotic behavior of solutions to a semilinear elliptic equation associated with the critical nonlinear growth in two dimensions. { −∆u = λueu , u > 0 in Ω, u = 0 on ∂Ω, (1.1) where Ω is a unit disk in R2 and λ denotes a positive parameter. We show that for a radially symmetric solution of (1.1) satisfies ∫ D |∇u| dx → 4π, λ ↘ 0. Moreover, by using the Pohozaev identity to the re...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1998
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-98-02269-7