Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

Wei Dai; Guolin Qin

doi:10.1002/mana.201800532

Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

Wei Dai^*
, Guolin Qin

^*Corresponding author for this work

School of Mathematical Sciences

Université Paris 13
Chinese Academy of Sciences
University of Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In this paper, we are concerned with the Hardy–Hénon equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).

Original language	English
Pages (from-to)	1084-1093
Number of pages	10
Journal	Mathematische Nachrichten
Volume	293
Issue number	6
DOIs	https://doi.org/10.1002/mana.201800532
State	Published - 1 Jun 2020

Keywords

Hardy–Hénon equations
Liouville theorems
bi-harmonic
concave nonlinearity
nonnegative solutions
super-harmonic property

Access to Document

10.1002/mana.201800532

Cite this

@article{67a03577542a49c3b750bbfab58d7076,

title = "Liouville type theorems for Hardy–H{\'e}non equations with concave nonlinearities",

abstract = "In this paper, we are concerned with the Hardy–H{\'e}non equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–H{\'e}non equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).",

keywords = "Hardy–H{\'e}non equations, Liouville theorems, bi-harmonic, concave nonlinearity, nonnegative solutions, super-harmonic property",

author = "Wei Dai and Guolin Qin",

note = "Publisher Copyright: {\textcopyright} 2020 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim",

year = "2020",

month = jun,

day = "1",

doi = "10.1002/mana.201800532",

language = "英语",

volume = "293",

pages = "1084--1093",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

publisher = "Wiley-VCH Verlag",

number = "6",

}

TY - JOUR

T1 - Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

AU - Dai, Wei

AU - Qin, Guolin

PY - 2020/6/1

Y1 - 2020/6/1

N2 - In this paper, we are concerned with the Hardy–Hénon equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).

AB - In this paper, we are concerned with the Hardy–Hénon equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).

KW - Hardy–Hénon equations

KW - Liouville theorems

KW - bi-harmonic

KW - concave nonlinearity

KW - nonnegative solutions

KW - super-harmonic property

UR - https://www.scopus.com/pages/publications/85083830725

U2 - 10.1002/mana.201800532

DO - 10.1002/mana.201800532

M3 - 文章

AN - SCOPUS:85083830725

SN - 0025-584X

VL - 293

SP - 1084

EP - 1093

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 6

ER -

Liouville type theorems for Hardy–Hénon equations with concave nonlinearities

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this