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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 $N \geq 3$ . At the end, we give a geometric application involving the conformal Laplacian.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

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.