Abstract
Original article: https://doi.org/10.4007/annals.2020.191.1.3
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[Annals]
C. Judge and S. Mondal, "Euclidean triangles have no hot spots," Ann. of Math. (2), vol. 191, iss. 1, pp. 167-211, 2020.@ARTICLE{Annals,
author = {Judge, Chris and Mondal, Sugata},
title = {Euclidean triangles have no hot spots},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {191},
year = {2020},
number = {1},
pages = {167--211},
issn = {0003-486X},
mrclass = {35P05 (35B38 35J05 35J25 58J50)},
mrnumber = {4045963},
mrreviewer = {Luigi Provenzano},
doi = {10.4007/annals.2020.191.1.3},
url = {https://doi.org/10.4007/annals.2020.191.1.3},
zblnumber = {1444.35119},
} -
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@ARTICLE{L-R,
author = {Lotoreichik, Vladimir and Rohleder, Jonathan},
title = {Eigenvalue inequalities for the {L}aplacian with mixed boundary conditions},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {263},
year = {2017},
number = {1},
pages = {491--508},
issn = {0022-0396},
mrclass = {35P15 (35J05)},
mrnumber = {3631314},
doi = {10.1016/j.jde.2017.02.043},
url = {https://doi.org/10.1016/j.jde.2017.02.043},
zblnumber = {1366.35106},
} -
[Polymath] relax Polymath, Polymath project 7, thread 5: the hotspots conjecture.
@MISC{Polymath,
author={{\relax Polymath}},
title = {Polymath project 7, thread 5: the hotspots conjecture},
note = {August 9, 2013},
url = {https://polymathprojects.org/2013/08/09/polymath7-research-thread-5-the-hot-spots-conjecture/},
zblnumber = {},
} -
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@ARTICLE{Miyamoto,
author = {Miyamoto, Yasuhito},
title = {A planar convex domain with many isolated ``hot spots'' on the boundary},
journal = {Jpn. J. Ind. Appl. Math.},
fjournal = {Japan Journal of Industrial and Applied Mathematics},
volume = {30},
year = {2013},
number = {1},
pages = {145--164},
issn = {0916-7005},
mrclass = {35P15 (35J05)},
mrnumber = {3022811},
doi = {10.1007/s13160-012-0091-z},
url = {https://doi.org/10.1007/s13160-012-0091-z},
zblnumber = {1260.35090},
} -
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@ARTICLE{Siudeja,
author = {Siudeja, Bart{\l}omiej},
title = {Hot spots conjecture for a class of acute triangles},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {280},
year = {2015},
number = {3-4},
pages = {783--806},
issn = {0025-5874},
mrclass = {35P05 (35B38 35J05 35J25 35P15 58J50)},
mrnumber = {3369351},
mrreviewer = {En-Tao Zhao},
doi = {10.1007/s00209-015-1448-1},
url = {https://doi.org/10.1007/s00209-015-1448-1},
zblnumber = {1335.35164},
}
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