Fast and Slow Decaying Solutions of Lane-Emden Equations Involving Nonhomogeneous Potential

Huyuan Chen; Xia Huang; Feng Zhou

doi:10.1515/ans-2020-2071

Fast and Slow Decaying Solutions of Lane-Emden Equations Involving Nonhomogeneous Potential

Huyuan Chen, Xia Huang, Feng Zhou

School of Mathematical Sciences

Jiangxi Normal University

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

4 Scopus citations

Abstract

Our purpose in this paper is to study positive solutions of the Lane-Emden equation - [EQUATION PRESENTED], perturbed by a nonhomogeneous potential V, with pϵ(N N - 2, p c), where p c is the Joseph-Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.

Original language	English
Pages (from-to)	339-359
Number of pages	21
Journal	Advanced Nonlinear Studies
Volume	20
Issue number	2
DOIs	https://doi.org/10.1515/ans-2020-2071
State	Published - 1 May 2020

Keywords

Decaying Solution
Lane-Emden Equation
Potential
Singularity

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title = "Fast and Slow Decaying Solutions of Lane-Emden Equations Involving Nonhomogeneous Potential",

abstract = "Our purpose in this paper is to study positive solutions of the Lane-Emden equation - [EQUATION PRESENTED], perturbed by a nonhomogeneous potential V, with pϵ(N N - 2, p c), where p c is the Joseph-Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.",

keywords = "Decaying Solution, Lane-Emden Equation, Potential, Singularity",

author = "Huyuan Chen and Xia Huang and Feng Zhou",

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year = "2020",

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AU - Chen, Huyuan

AU - Huang, Xia

AU - Zhou, Feng

PY - 2020/5/1

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N2 - Our purpose in this paper is to study positive solutions of the Lane-Emden equation - [EQUATION PRESENTED], perturbed by a nonhomogeneous potential V, with pϵ(N N - 2, p c), where p c is the Joseph-Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.

AB - Our purpose in this paper is to study positive solutions of the Lane-Emden equation - [EQUATION PRESENTED], perturbed by a nonhomogeneous potential V, with pϵ(N N - 2, p c), where p c is the Joseph-Ludgren exponent. We construct a sequence of fast and slow decaying solutions with appropriated restrictions for V.

KW - Decaying Solution

KW - Lane-Emden Equation

KW - Potential

KW - Singularity

UR - https://www.scopus.com/pages/publications/85079666347

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DO - 10.1515/ans-2020-2071

M3 - 文章

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SN - 1536-1365

VL - 20

SP - 339

EP - 359

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - 2

ER -

Fast and Slow Decaying Solutions of Lane-Emden Equations Involving Nonhomogeneous Potential

Abstract

Keywords

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