minkowski -曲率neumann问题解的存在性

IF 0.7 4区数学 Q2 MATHEMATICS

Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1431

Tianlan Chen, Yali Zhao

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引用次数: 0

摘要

我们给出了具有minkowski曲率算子(rN−1u′1−u′2)′=rN−1f(r,u,u′)，r∈(0,1)，u′(0)=0,u′(1)=∫01u′(s)dg(s)的非局部Neumann问题系统的存在性结果，其中N≥1是整数，f:[0,1]×∈k×Ik→∈k是连续有界的，I是(- 1,1)，g:[0,1]→∈k是有界变分函数。该证明是基于拓扑度的参数，并扩展到更大的非线性类。

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EXISTENCE OF SOLUTIONS FOR SYSTEMS OF MINKOWSKI-CURVATURE NEUMANN PROBLEMS

We show some existence results for the system of nonlocal Neumann problems with the Minkowski-curvature operator (rN−1u′1−u′2)′=rN−1f(r,u,u′), r∈(0,1), u′(0)=0, u′(1)=∫01u′(s)dg(s), where N≥1 is an integer, f:[0,1]×ℝk×Ik→ℝk is continuous and bounded, I≔(−1,1), and g:[0,1]→ℝk is a function of bounded variation. The proof is based on topological-degree arguments and extends to a larger class of nonlinearities.

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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.