Positive evanescent solutions of singular elliptic problems in exterior domains

被引：2

作者：

Orpel, Aleksandra ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, S Banacha 22, PL-90238 Lodz, Poland

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 36期

关键词：

singular elliptic problems; positive evanescent solutions; subsolution and supersolution method; exterior domain; BOUNDARY-VALUE-PROBLEMS; QUASI-LINEAR EQUATIONS; DIFFERENTIAL-EQUATIONS; EXISTENCE; NONEXISTENCE;

D O I：

10.14232/ejqtde.2016.1.36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of positive solutions for the following class of nonlinear elliptic problems div (a(parallel to x parallel to)del u (x)) + f (x, u (x)) - (u (x))(-alpha)parallel to del u (x)parallel to(beta) + g (parallel to x parallel to)x . del u (x) = 0, where X I R-n and parallel to x parallel to > R, with the condition lim(x) = 0. We present the approach based on the subsolution and supersolution method for bounded subdomains and a certain convergence procedure. Our results cover both sublinear and superlinear cases of f. The speed of decaying of solutions will be also characterized more precisely.

引用

页码：1 / 12

页数：12

共 50 条

[1] POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC PROBLEMS IN EXTERIOR DOMAINS
YANG, JF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 106 (01) : 40 - 69
[2] Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains
Tsing-San Hsu
Huei-Li Lin
[J]. Boundary Value Problems, 2010
[3] Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains
Hsu, Tsing-San
Lin, Huei-Li
[J]. BOUNDARY VALUE PROBLEMS, 2010,
[4] POSITIVE SOLUTIONS OF SOME NONLINEAR ELLIPTIC PROBLEMS IN EXTERIOR DOMAINS
BENCI, V
CERAMI, G
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 99 (04) : 283 - 300
[5] Multiple positive solutions for singularly perturbed elliptic problems in exterior domains
Cerami, G
Molle, R
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2003, 20 (05): : 759 - 777
[6] Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
Chhetri, Maya
Drabek, Pavel
Shivaji, Ratnasingham
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2017, 6 (04) : 447 - 459
[7] Multiple positive solutions of elliptic systems in exterior domains
Liu, Haidong
Liu, Zhaoli
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2018, 20 (06)
[8] Solutions to overdetermined elliptic problems in nontrivial exterior domains
Ros, Antonio
Ruiz, David
Sicbaldi, Pieralberto
[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2020, 22 (01) : 253 - 281
[9] Existence of multiple positive solutions of subcritical semilinear elliptic problems in exterior strip domains
Hsu, TS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (06) : 1203 - 1228
[10] EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS IN EXTERIOR DOMAINS WITH RICH TOPOLOGY
CERAMI, G
PASSASEO, D
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (02) : 109 - 119

← 1 2 3 4 5 →