Multiple solutions of semilinear elliptic equations in exterior domains

Huei Li Lin

doi:10.1017/S0308210506001168

Multiple solutions of semilinear elliptic equations in exterior domains

Huei Li Lin^*

^*Corresponding author for this work

Center for General Education

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

5 Scopus citations

Abstract

In this paper, assume that q is a positive continuous function in ℝ^N satisfying suitable conditions. We prove that the Dirichlet problem -Δu + u = q(z)|u|^p-2u in an exterior domain admits at least two positive solutions and a solution which changes sign.

Original language	English
Pages (from-to)	531-549
Number of pages	19
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	138
Issue number	3
DOIs	https://doi.org/10.1017/S0308210506001168
State	Published - 06 2008

Keywords

CALCULUS
CONCENTRATION-COMPACTNESS PRINCIPLE
EXISTENCE
NEUMANN PROBLEM
POSITIVE SOLUTIONS

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10.1017/S0308210506001168

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title = "Multiple solutions of semilinear elliptic equations in exterior domains",

abstract = "In this paper, assume that q is a positive continuous function in ℝN satisfying suitable conditions. We prove that the Dirichlet problem -Δu + u = q(z)|u|p-2u in an exterior domain admits at least two positive solutions and a solution which changes sign.",

keywords = "CALCULUS, CONCENTRATION-COMPACTNESS PRINCIPLE, EXISTENCE, NEUMANN PROBLEM, POSITIVE SOLUTIONS",

author = "Lin, {Huei Li}",

year = "2008",

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doi = "10.1017/S0308210506001168",

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AB - In this paper, assume that q is a positive continuous function in ℝN satisfying suitable conditions. We prove that the Dirichlet problem -Δu + u = q(z)|u|p-2u in an exterior domain admits at least two positive solutions and a solution which changes sign.

KW - CALCULUS

KW - CONCENTRATION-COMPACTNESS PRINCIPLE

KW - EXISTENCE

KW - NEUMANN PROBLEM

KW - POSITIVE SOLUTIONS

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U2 - 10.1017/S0308210506001168

DO - 10.1017/S0308210506001168

M3 - 文章

AN - SCOPUS:48949106805

SN - 0308-2105

VL - 138

SP - 531

EP - 549

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 3

ER -

Multiple solutions of semilinear elliptic equations in exterior domains

Abstract

Keywords

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