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^*

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2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	1059-1071
頁數	13
期刊	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
卷	137
發行號	5
DOIs	https://doi.org/10.1017/S0308210506000527
出版狀態	已出版 - 2007

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10.1017/S0308210506000527

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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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Multiple solutions for some quasilinear Neumann problems in exterior domains

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