Three positive solutions of semilinear elliptic equations in the half space with a hole

Huei Li Lin

doi:10.1016/j.jde.2006.03.024

Three positive solutions of semilinear elliptic equations in the half space with a hole

Huei Li Lin^*

^*Corresponding author for this work

Division of Natural Science

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

10 Scopus citations

Abstract

In this paper, assume that h is nonnegative and {norm of matrix} h {norm of matrix}_L² > 0, we prove that if {norm of matrix} h {norm of matrix}_L² is sufficiently small, then there are at least three positive solutions of Eq. (1) in R₊^N \ over(D, -), where D is a C^1,1 bounded domain in R₊^N.

Original language	English
Pages (from-to)	614-633
Number of pages	20
Journal	Journal of Differential Equations
Volume	230
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2006.03.024
State	Published - 15 11 2006

Keywords

(PS)-sequence
Minimax method
Semilinear elliptic equations
Three positive solutions

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10.1016/j.jde.2006.03.024

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title = "Three positive solutions of semilinear elliptic equations in the half space with a hole",

abstract = "In this paper, assume that h is nonnegative and \{norm of matrix\} h \{norm of matrix\}L2 > 0, we prove that if \{norm of matrix\} h \{norm of matrix\}L2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in R+N \textbackslash{} over(D, -), where D is a C1,1 bounded domain in R+N.",

keywords = "(PS)-sequence, Minimax method, Semilinear elliptic equations, Three positive solutions",

author = "Lin, \{Huei Li\}",

year = "2006",

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AU - Lin, Huei Li

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N2 - In this paper, assume that h is nonnegative and {norm of matrix} h {norm of matrix}L2 > 0, we prove that if {norm of matrix} h {norm of matrix}L2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in R+N \ over(D, -), where D is a C1,1 bounded domain in R+N.

AB - In this paper, assume that h is nonnegative and {norm of matrix} h {norm of matrix}L2 > 0, we prove that if {norm of matrix} h {norm of matrix}L2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in R+N \ over(D, -), where D is a C1,1 bounded domain in R+N.

KW - (PS)-sequence

KW - Minimax method

KW - Semilinear elliptic equations

KW - Three positive solutions

UR - https://www.scopus.com/pages/publications/33748694525

U2 - 10.1016/j.jde.2006.03.024

DO - 10.1016/j.jde.2006.03.024

M3 - 文章

AN - SCOPUS:33748694525

SN - 0022-0396

VL - 230

SP - 614

EP - 633

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Three positive solutions of semilinear elliptic equations in the half space with a hole

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Keywords

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