| p(x)-Laplace方程解的存在性 |
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| 引用本文： | 刘越里,陈庆娥. p(x)-Laplace方程解的存在性[J]. 延安大学学报(自然科学版), 2012, 31(3): 37-39 |
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| 作者姓名： | 刘越里 陈庆娥 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 甘肃省自然科学基金资助项目 |
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| 摘 要： | 利用山路引理和喷泉定理容易得到具有无流边界的p(x)-Laplace方程含有|u|p(x)-2u项时方程解的存在性和多解性;当方程没有|u|p(x)-2u时,利用最小作用原理得到无流边界p(x)-Laplace方程解的存在性。其中无流边界指的是{u=c x∈Ω,∫Ω|▽μ|p(x)-2u/ηds=0
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| 关 键 词： | 无流边界 p(x)-Laplace方程 最小作用原理 |
Existence of Solution for p(x)-Laplace Equation |
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| LIU Yue-li,CHEN Qing-e. Existence of Solution for p(x)-Laplace Equation[J]. Journal of Yan'an University(Natural Science Edition), 2012, 31(3): 37-39 |
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| Authors: | LIU Yue-li CHEN Qing-e |
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| Affiliation: | (School of Mathematics and Statistics,Tianshui Normal College,Tianshui 741001,China) |
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| Abstract: | When a term of ｜u｜p（x）-2u is involved in p（x）-Laplace equation,it is easy to get the existence of solution and multiplicity of this equation using mountain pass theorem and fountain theorem.Otherwise,We apply the principle least action to obtain the existence of solution of p（x）-Laplace equation with no flux boundary. |
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| Keywords: | no flux boundary p(x)-Laplace equation the principle least action |
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