数学研究及应用2024，Vol.44Issue(1) ：35-42.DOI:10.3770/j.issn:2095-2651.2024.01.005

Existence of Solutions for Systems of k-Dimensional Minkowski-Curvature Problems with Neumann Conditions

Tianlan CHEN Yali ZHAO Haiyi WU
数学研究及应用2024，Vol.44Issue(1) ：35-42.DOI:10.3770/j.issn:2095-2651.2024.01.005
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Existence of Solutions for Systems of k-Dimensional Minkowski-Curvature Problems with Neumann Conditions

Tianlan CHEN 1Yali ZHAO 1Haiyi WU1
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作者信息

  • 1. Department of Mathematics,Northwest Normal University,Gansu 730070,P.R.China
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Abstract

We prove the existence of solutions of the system for nonlocal Neumann problems with Minkowski-curvature operator(rN-1u'/√1-u'2)'=rN-1f(r,u),r∈(0,1),u'(0)=0,u'(1)=∫01u'(s)dg(s),where k,N ≥ 1 are integers,f:[0,1]× Rk → Rk is continuous and g:[0,1]→ Rk is a function of bounded variation.Our proof is based on the perturbation method.

Key words

Minkowski-curvature operator/Perturbation method/Neumann problem/solutions

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基金项目

国家自然科学基金(11901464)

国家自然科学基金(12361040)

National Science Foundation of Gansu Province(20JR10RA100)

National Science Foundation of Gansu Province(21JR1RA230)

Department of Education University Innovation Fund of Gansu Province(2022A-218)

Department of Education University Innovation Fund of Gansu Province(2021A-006)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

CSCD
影响因子：0.094
ISSN：2095-2651
参考文献量27
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