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

共 50 条

[41] DIFFERENTIAL - DIFFERENCE-EQUATIONS IN A HALF-SPACE
RABINOVICH, VS
DIFFERENTIAL EQUATIONS, 1980, 16 (11) : 1296 - 1302
[42] Discrete Singular Operators and Equations in a Half-Space
Vasilyev, A. V.
Vasilyev, V. B.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2013, 3 (01): : 84 - 93
[43] HIGHER ORDER ELLIPTIC EQUATIONS IN HALF SPACE
Muschietti, Maria Amelia
Tournier, Federico
REVISTA DE LA UNION MATEMATICA ARGENTINA, 2017, 58 (02): : 259 - 280
[44] Nonlinear elliptic equations on the upper half space
Tang, Sufang
Wang, Lei
Zhu, Meijun
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 24 (01)
[45] Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space
Sebastián Lorca
Journal of Inequalities and Applications, 2007
[46] On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations
Denisov, V
Muravnik, A
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 9 : 88 - 93
[47] Elliptic problems in the half-space with nonlinear critical boundary conditions
Furtado, Marcelo Fernandes
de Sousa, Karla Carolina Vicente
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2021, 2 (06):
[48] MULTIPLICITY RESULTS FOR A DEGENERATE QUASILINEAR ELLIPTIC EQUATION IN HALF-SPACE
Assuncao, R. B.
Carriao, P. C.
Miyagaki, O. H.
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (7-8) : 753 - 770
[49] MOTION OF A VIBRATOR ON A HALF-SPACE AND ON A LAYERED HALF-SPACE
FARRELL, WE
GEOPHYSICS, 1979, 44 (03) : 332 - 332
[50] ELLIPTIC PROBLEMS WITH L1-DATA IN THE HALF-SPACE
Amrouche, Cherif
Nguyen, Huy Hoang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2012, 5 (03): : 369 - 397

← 1 2 3 4 5 →