Asymptotic profile of positive solutions of Lane-Emden problems in dimension two

被引：22

作者：

De Marchis, Francesca ^{[1
]}

Ianni, Isabella ^{[2
]}

Pacella, Filomena ^{[1
]}

机构：

[1] Univ Roma Sapienza, Ple Aldo Moro 5, I-00185 Rome, Italy

[2] Univ Campania Luigi Vanvitelli, Vle Lincoln 5, I-81100 Caserta, Italy

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 01期

关键词：

Semilinear elliptic equations; superlinear elliptic boundary value problems; asymptotic analysis; concentration of solutions; positive solutions; ELLIPTIC PROBLEM; LARGE EXPONENT; BEHAVIOR;

D O I：

10.1007/s11784-016-0386-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider families up of solutions to the problem {-Delta u = u(p) in Omega u > 0 in Omega, (epsilon(p)) u = 0 on partial derivative Omega where p > 1 and Omega is a smooth bounded domain of R-2. Under the condition p integral(Omega) vertical bar del u(p)|(2) dx -> beta is an element of R as p -> +infinity (F) we give a complete description of the asymptotic behavior of u(p) as p -> +infinity.

引用

页码：889 / 916

页数：28

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