无界区域上含p-Lapliacian的特征值问题

Eigenvalue problems for the p-Laplacian on unbounded domains

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摘要考虑在一类无界区域上对应不同边值条件的含p-Laplacian的非线性特征值问题,给出这些问题存在一列非负递增的特征值序列. We consider the nonlunear eigenvalue problems for the p-Laplacian subject to different kinds of boundary conditions on unbounded domains.We show the existence of nondecreasing sequences of nonegative eigenvalues for these problems respectively.

作者乔春艳

机构地区苏州大学数学科学学院

出处《苏州大学学报（自然科学版）》 CAS 2008年第2期15-19,共5页 Journal of Soochow University(Natural Science Edition)

基金江苏省高校自然科学研究基金资助项目(05KJB110114)

关键词非线性特征值问题 P-LAPLACIAN 变分方法 nonlunear eigenvalue problems p-Laplacian variational methods

分类号 O175 [理学—基础数学]

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苏州大学学报（自然科学版）

2008年第2期

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无界区域上含p-Lapliacian的特征值问题

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