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p(x)-Laplacian Neumann问题的解与多解

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First Author : 周美秀

Date of Publication : 2010-01-01

Journal : 数学进展

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : 第39卷

Issue : 第3期

Page Number : 361-374

ISSN : 1000-0917

Key Words : p(x)-Laplacian;Neumann问题;局部环绕条件;局部Lipschitz泛函

Abstract : 本文在W^(1,p(x))(Ω)上讨论了位势非光滑且只是局部Lipschitz的p(x)-LaplacianNeumann问题,利用极小极大原理和局部环绕定理获得了Neumann问题的存在性和多解性结果.

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