Supercritical Henon-type equation with a forcing term

被引：2

作者：

Ishige, Kazuhiro ^{[1
]}

Katayama, Sho ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro Ku, Tokyo 1538914, Japan

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期

关键词：

Henon-type equation; Lane-Emden equation; forcing term; supercritical; the Joseph-Lundgren exponent; SEMILINEAR ELLIPTIC EQUATION; POSITIVE ENTIRE SOLUTIONS; INFINITE MULTIPLICITY; ASYMPTOTIC-BEHAVIOR; EXISTENCE;

D O I：

10.1515/anona-2024-0003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the structure of solutions to the elliptic problem for a Henon-typeequation with a forcing term: -Delta = alpha(x)u(p) + kappa mu, in R-N, u > 0, in R-N, (P-k) where N >= 3, p > 1, kappa > 0, and alpha is a positive continuous function in R-N\{0}, and mu is a nonnegative Radonmeasure in R-N. Under suitable assumptions on the exponentp, the coefficient alpha, and the forcing term mu, wegive a complete classification of the existence/nonexistence of solutions to problem (P-kappa) with respect to kappa.

引用

页数：28

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