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带非线性边界的p-Laplacian问题的多重解 被引量：1

Multiplicity Solutions for p-Laplacian Problems with Nonlinear Boundary Conditions
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摘要 研究了外域空间上一类带非线性边界的p-Laplacian问题多重解的存在性.利用极值原理和山路引理,证明了带非线性边界的p-Laplacian问题至少存在2个非平凡解. The existence of multiple solutions for a class of p-Laplacian problems with nonlinear boundary conditions on exterior domain was investigated.Using extremum principle and mountain pass lemma,the existence of at least two nontrivial solutions for p-Laplacian equations with nonlinear boundary conditions was proved.
作者 刘向平 章国庆
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2013年第5期449-451,共3页 Journal of University of Shanghai For Science and Technology
基金 上海市自然科学基金资助项目(11ZR1424500) 上海市一流学科建设资助项目(XTKX2012)
关键词 多重解 非线性边界 山路引理 multiplicity solutions nonlinear boundary conditions Mountain Pass Lemma
分类号 O175.25 [理学—基础数学]
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参考文献8

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同被引文献12

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引证文献1

上海理工大学学报
2013年 第5期

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