Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers

被引：2
|
作者：
Boccardo, Lucio [1 ,2 ]
Maia, Liliane [3 ]
Pellacci, Benedetta [4 ]
机构：
[1] Ist Lombardo, Ple Aldo Moro 5, I-00185 Rome, Italy
[2] Sapienza Univ Roma, Ple Aldo Moro 5, I-00185 Rome, Italy
[3] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
[4] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Vle A Lincoln 5, I-81100 Caserta, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2022年 / 152卷 / 05期
关键词：
Increasing powers in the lower order term; Asymptotical analysis; Semilinear elliptic equations; EQUATIONS; UNIQUENESS;
D O I：
10.1017/prm.2021.54
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence results of two solutions of the problem {L(u) + u(m-1) = lambda u(p-1) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where L(v) = -div(M(x)del v) is a linear operator, p is an element of (2, 2*] and lambda and m sufficiently large. Then their asymptotical limit as m -> +infinity is investigated showing different behaviours.
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页码：1233 / 1250
页数：18
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