isoperimetric problem;
minor (major) circular segments;
symmetric lens;
52A38;
52A40;
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摘要:
This paper deals with the following isoperimetric problem in the plane: Among all regions with prescribed perimeter and covering a given line segment, what is the region that has the greatest area?
机构:
McMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, CanadaMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada
Alama, Stanley
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机构:
Bronsard, Lia
Lu, Xinyang
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机构:
Lakehead Univ, Dept Math Sci, 955 Oliver Rd, Thunder Bay, ON P7B 5E1, CanadaMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada
Lu, Xinyang
Wang, Chong
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机构:
Washington & Lee Univ, Dept Math, Chavis Hall,204 W Washington St, Lexington, VA 24450 USAMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L8S 4K1, Canada
机构:
Indian Inst Sci Educ & Res, Dept Math Sci, Sect 81, Sas Nagar 140306, IndiaBanaras Hindu Univ, Inst Sci, Ctr Interdisciplinary Math Sci, Varanasi 221005, India
Gangopadhyay, Ranadip
Shah, Hemangi Madhusudan
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机构:
Homi Bhabha Natl Inst, CI, Harish Chandra Res Inst, Chhatnag Rd, Prayagraj 211019, IndiaBanaras Hindu Univ, Inst Sci, Ctr Interdisciplinary Math Sci, Varanasi 221005, India