Multiple positive solutions of semilinear elliptic boundary value problems in the half space

Tsing San Hsu; Huei Li Lin

doi:10.1016/j.na.2011.08.034

Multiple positive solutions of semilinear elliptic boundary value problems in the half space

Tsing San Hsu
, Huei Li Lin^*

^*Corresponding author for this work

Center for General Education

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

1 Scopus citations

Abstract

In this paper, we prove that if Q is a positive continuous function in ^RN and satisfies the suitable conditions, then for sufficiently small λ>0,-Δu+u=Q(z)up-¹ with the boundary condition u(x,^zN)=λg(x) admits at least three positive solutions in R+N.

Original language	English
Pages (from-to)	304-316
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2011.08.034
State	Published - 01 2012

Keywords

Category
Elliptic boundary value problems
Multiple positive solutions
The half space

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10.1016/j.na.2011.08.034

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title = "Multiple positive solutions of semilinear elliptic boundary value problems in the half space",

abstract = "In this paper, we prove that if Q is a positive continuous function in RN and satisfies the suitable conditions, then for sufficiently small λ>0,-Δu+u=Q(z)up-1 with the boundary condition u(x,zN)=λg(x) admits at least three positive solutions in R+N.",

keywords = "Category, Elliptic boundary value problems, Multiple positive solutions, The half space",

author = "Hsu, \{Tsing San\} and Lin, \{Huei Li\}",

year = "2012",

month = jan,

doi = "10.1016/j.na.2011.08.034",

language = "英语",

volume = "75",

pages = "304--316",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

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T1 - Multiple positive solutions of semilinear elliptic boundary value problems in the half space

AU - Hsu, Tsing San

AU - Lin, Huei Li

PY - 2012/1

Y1 - 2012/1

N2 - In this paper, we prove that if Q is a positive continuous function in RN and satisfies the suitable conditions, then for sufficiently small λ>0,-Δu+u=Q(z)up-1 with the boundary condition u(x,zN)=λg(x) admits at least three positive solutions in R+N.

AB - In this paper, we prove that if Q is a positive continuous function in RN and satisfies the suitable conditions, then for sufficiently small λ>0,-Δu+u=Q(z)up-1 with the boundary condition u(x,zN)=λg(x) admits at least three positive solutions in R+N.

KW - Category

KW - Elliptic boundary value problems

KW - Multiple positive solutions

KW - The half space

UR - https://www.scopus.com/pages/publications/80053973987

U2 - 10.1016/j.na.2011.08.034

DO - 10.1016/j.na.2011.08.034

M3 - 文章

AN - SCOPUS:80053973987

SN - 0362-546X

VL - 75

SP - 304

EP - 316

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

Multiple positive solutions of semilinear elliptic boundary value problems in the half space

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Keywords

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