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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
provided by the
Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1 to 2 of 2 (0.102 seconds)Spelling suggestions: "subject:"nonlinear potential theory"" "subject:"onlinear potential theory""
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Construction of p-energy and associated energy measures on the Sierpiński carpet / Sierpiński carpet上のp-エネルギーと対応するエネルギー測度の構成Shimizu, Ryosuke 26 September 2022 (has links)
京都大学 / 新制・課程博士 / 博士(情報学) / 甲第24262号 / 情博第806号 / 新制||情||136(附属図書館) / 京都大学大学院情報学研究科先端数理科学専攻 / (主査)教授 木上 淳, 教授 磯 祐介, 准教授 白石 大典 / 学位規則第4条第1項該当 / Doctor of Informatics / Kyoto University / DFAM
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Generalizations of a Laplacian-Type Equation in the Heisenberg Group and a Class of Grushin-Type SpacesChilders, Kristen Snyder 01 January 2011 (has links)
In [2], Beals, Gaveau and Greiner find the fundamental solution to a 2-Laplace-type equation in a class of sub-Riemannian spaces. This fundamental solution is based on the well-known fundamental solution to the p-Laplace equation in Grushin-type spaces [4] and the Heisenberg group [6]. In this thesis, we look to generalize the work in [2] for a p-Laplace-type equation. After discovering that the "natural" generalization fails, we find two generalizations whose solutions are based on the fundamental solution to the p-Laplace equation.
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