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.",

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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.

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

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IS - 5

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Multiple solutions for some quasilinear Neumann problems in exterior domains

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