Entire solutions to sublinear elliptic problems on harmonic NA groups and Euclidean spaces

被引：0

作者：

Damek, Ewa ^{[1
,2
]}

Ghardallou, Zeineb ^{[1
,2
]}

机构：

[1] Wroclaw Univ, Dept Math, Plac Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[2] Univ Tunis El Manar, Fac Sci Tunis, LR11ES11, Dept Math Anal & Applicat, Tunis 2092, Tunisia

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2021年 / 200卷 / 01期

关键词：

Sublinear elliptic problems; Damek-Ricci spaces; Entire solutions; Large solutions;

D O I：

10.1007/s10231-020-00983-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for the existence of entire solutions bounded or large of the equation Lu-p psi(u)=0 =0 is either the Laplace operator on Rd, d >= 3 or the Laplace-Beltrami operator on the harmonic NA group and p is a function whose oscillation tends to zero at infinity at a specified rate. The results apply to noncompact rank one symmetric spaces.

引用

页码：67 / 80

页数：14

共 13 条

[1]

Anker J.P., 1996, ESTRATTO DAGLI ANN S, VXXIII

[2]

[Anonymous], 1992, J. Geom. Anal, DOI DOI 10.1007/BF02921294

[3]

Astarita G., 1974, PRINCIPLES NONNEWTON

[4] ON THE STRUCTURE OF THE CONFORMAL SCALAR CURVATURE EQUATION ON R(N) [J].