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Minkowski problem
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<h2 id="further-reading">Further reading</h2> <ul><li><a href="/facts/Herbert_Busemann/PR46wsFS">Herbert Busemann</a> (1959) <a href="https://projecteuclid.org/euclid.mmj/1028998232">Minkowski’s and related problems for convex surfaces with boundaries</a>, <a href="/facts/Michigan_Mathematical_Journal/Yr8ojPzM">Michigan Mathematical Journal</a> 6: 259–66 <a href="/facts/MR_(identifier)/uP137L11">MR</a><a href="https://mathscinet.ams.org/mathscinet-getitem?mr=0108829">0108829</a> via <a href="/facts/Project_Euclid/UXdRpPcW">Project Euclid</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Minkowski, H. (1903). "Volumen und Oberfläche". Mathematische Annalen. 57 (4): 447–495. doi:10.1007/BF01445180. <a href="https://zenodo.org/record/1569564" target="_blank">https://zenodo.org/record/1569564</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Calabi, Eugenio (1979), "Review of The Minkowski multidimensional problem, by Aleksey Vasil'yevich Pogorelov", Bulletin of the American Mathematical Society, 1: 636–639, doi:10.1090/S0273-0979-1979-14645-7, MR 1567159. <a href="/wiki/Eugenio_Calabi" target="_blank">/wiki/Eugenio_Calabi</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Schneider, Rolf (1993), Convex Bodies: the Brunn-Minkowski Theory, Cambridge: Cambridge University Press <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Nirenberg, L. (1953). "The Weyl and Minkowski problems in differential geometry in the large". Comm. Pure Appl. Math. 6 (3): 337–394. doi:10.1002/cpa.3160060303. MR 0058265. <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>Pogorelov, A. V. (1979) The Minkowsky Multidimensional Problem, Washington: Scripta, ISBN 0470-99358-8 MR0478079 <a href="/wiki/ISBN_(identifier)" target="_blank">/wiki/ISBN_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>Cheng, Shiu Yuen; Yau, Shing Tung (1976). "On the regularity of the solution of the n-dimensional Minkowski problem". Comm. Pure Appl. Math. 29 (5): 495–516. doi:10.1002/cpa.3160290504. <a href="/wiki/Communications_on_Pure_and_Applied_Mathematics" target="_blank">/wiki/Communications_on_Pure_and_Applied_Mathematics</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> </ol>