On the eigenvalue problem for the Finsler p-Laplacian

来源 :2016黎曼-芬斯勒几何国际会议 | 被引量 : 0次 | 上传用户：ppl_fox

【摘要】

：

　　In this talk,we will introduce the existence and regularity of eigenfunctions for the Finsler p(> 1)-Laplacian on a compact Finsler manifold M without bound

【作者】

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XIA Qiaoling

【机构】

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ZhejiangUniversity,P.R.China

【出处】

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2016黎曼-芬斯勒几何国际会议

【发表日期】

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2016年6期

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　　In this talk,we will introduce the existence and regularity of eigenfunctions for the Finsler p(> 1)-Laplacian on a compact Finsler manifold M without boundary or with a smooth boundary.Moreover,we shall give a sharp lower bound for the first(nonzero)closed or Neumann eigenvalue for the Finsler p-Laplacian on M with the weighted Ricci curvature bounded from below by a constant K in terms of diameter,dimension and K.

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