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

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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.

Minkowski-curvature operatorPerturbation methodNeumann problemsolutions

Tianlan CHEN、Yali ZHAO、Haiyi WU

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

国家自然科学基金国家自然科学基金National Science Foundation of Gansu ProvinceNational Science Foundation of Gansu ProvinceDepartment of Education University Innovation Fund of Gansu ProvinceDepartment of Education University Innovation Fund of Gansu Province

119014641236104020JR10RA10021JR1RA2302022A-2182021A-006

2024

10.3770/j.issn:2095-2651.2024.01.005

数学研究及应用
大连理工大学

数学研究及应用

影响因子：0.094
ISSN：2095-2651
年,卷(期)：2024.44(1)
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