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.

引用

页码：1233 / 1250

页数：18

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