Elliptic equations with absorption in a half-space

被引：1

作者：

Garcia-Melian, J. ^{[1
,2
]}

Quaas, A. ^{[3
]}

Sirakov, B. ^{[4
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, C Astrofis Francisco Sanchez S-N, San Cristobal la Laguna 38271, Spain

[2] Univ La Laguna, Inst Univ Estudios Avanzados IUdEA Fis Atom Mol &, C Astrofis Francisco Sanchez S-N, San Cristobal la Laguna 38203, Spain

[3] Univ Tecn Federico Santa Maria, Dept Matemat, Casilla V-110,Avda Espana 1680, Valparaiso, Chile

[4] Pontificia Univ Catolica Rio de Janeiro, Dept Matemat, Rua Marques de Sao Vicente 225, BR-22451900 Rio de Janeiro, RJ, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2016年 / 47卷 / 03期

关键词：

Elliptic equations; non-existence; half-space; coercive problems; subsolutions; STRONG MAXIMUM PRINCIPLE; CONE-LIKE DOMAINS; POSITIVE SOLUTIONS; NONEXISTENCE;

D O I：

10.1007/s00574-016-0189-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a necessary and sufficient condition, in the spirit of the classical works by Keller and Osserman, for the elliptic equation Delta u = f (u) to have a solution in a half-space of R-N. The function f is supposed to be nondecreasing and nonnegative, and we are interested in solutions whose range is where f > 0. The possibility of obtaining such a necessary and sufficient condition has been an open question for a long time.

引用

页码：811 / 821

页数：11

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