Multiple solutions for some quasilinear Neumann problems in exterior domains

Tsing San Hsu

doi:10.1017/S0308210506000527

Multiple solutions for some quasilinear Neumann problems in exterior domains

Tsing San Hsu^*

^*Corresponding author for this work

Center for General Education

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

2 Scopus citations

Abstract

In this paper, we show that if K(x) satisfies suitable conditions, then the quasilinear Neumann problem - Δ_pu + |u|^p-2u = K(x)|u|^q-2u in an exterior domain Ω has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.

Original language	English
Pages (from-to)	1059-1071
Number of pages	13
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	137
Issue number	5
DOIs	https://doi.org/10.1017/S0308210506000527
State	Published - 2007

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title = "Multiple solutions for some quasilinear Neumann problems in exterior domains",

abstract = "In this paper, we show that if K(x) satisfies suitable conditions, then the quasilinear Neumann problem - Δpu + |u|p-2u = K(x)|u|q-2u in an exterior domain Ω has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.",

author = "Hsu, \{Tsing San\}",

year = "2007",

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language = "英语",

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T1 - Multiple solutions for some quasilinear Neumann problems in exterior domains

AU - Hsu, Tsing San

PY - 2007

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N2 - In this paper, we show that if K(x) satisfies suitable conditions, then the quasilinear Neumann problem - Δpu + |u|p-2u = K(x)|u|q-2u in an exterior domain Ω has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.

AB - In this paper, we show that if K(x) satisfies suitable conditions, then the quasilinear Neumann problem - Δpu + |u|p-2u = K(x)|u|q-2u in an exterior domain Ω has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.

UR - https://www.scopus.com/pages/publications/77950689248

U2 - 10.1017/S0308210506000527

DO - 10.1017/S0308210506000527

M3 - 文章

AN - SCOPUS:77950689248

SN - 0308-2105

VL - 137

SP - 1059

EP - 1071

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

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

IS - 5

ER -

Multiple solutions for some quasilinear Neumann problems in exterior domains

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