封闭流形上奇异基尔霍夫型方程的存在性和唯一性结果

IF 0.6 4区 数学 Q3 MATHEMATICS Differential Geometry and its Applications Pub Date : 2023-12-15 DOI:10.1016/j.difgeo.2023.102094
Mohamed El Farouk Ounane , Kamel Tahri
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引用次数: 0

摘要

利用变分法和临界点理论,我们证明了维数 N≥3 的封闭黎曼流形上奇异基尔霍夫方程正解的存在性和唯一性。最后,我们给出了一个涉及保角拉普拉斯的几何应用。
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Existence and uniqueness results for a singular Kirchhoff type equation on a closed manifold

Using the variational methods and the critical points theory, we prove the existence and the uniqueness of a positive solution for a singular Kirchhoff type equation on a closed Riemannian manifold of dimension N3. At the end, we give a geometric application involving the conformal Laplacian.

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来源期刊
CiteScore
1.00
自引率
20.00%
发文量
81
审稿时长
6-12 weeks
期刊介绍: Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.
期刊最新文献
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