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关于p(x)-拉普拉斯非线性边值问题的正解

On Positive Solution to p(x)-Laplacian Nonlinear Boundary Value
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摘要 运用山路定理和极小作用原理得到了非线性边值条件问题-Δp(x)u+|u|p(x)-2u=λuα(x)-2u x∈Ω|▽u|p(x)-2u/v=μuβ(x)-2u x∈Ω的两个正解。 This thesis is related to the study of -Δp（x）u＋｜u｜p（x）-2u=λuα（x）-2u x∈Ω｜▽u｜p（x）-2u/v=μuβ（x）-2u x∈ΩTwo positive solutions to conditions of nonlinear boundary value have been obtained according to the mountain pass theorem and the least action principle.
作者 安璐 唐春雷
机构地区 西南大学数学与统计学院
出处 《西南师范大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第6期21-24,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071198)
关键词 p(x)-拉普拉斯 非线性边值条件 正解 山路定理 p（x）-Laplace nonlinear boundary value positive solution the mountain pass theorem
分类号 O176.3 [理学—基础数学]
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参考文献15

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西南师范大学学报（自然科学版）
2013年 第6期

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