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The Global ETD Search service is a free service for researchers
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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 (0.103 seconds)Spelling suggestions: "subject:"method off moving planes"" "subject:"method oof moving planes""
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Propriedades de simetria para soluções de equações elípticas quase lineares em modelos riemannianosCosta, Ricardo Pinheiro da 25 July 2014 (has links)
Made available in DSpace on 2015-05-15T11:46:20Z (GMT). No. of bitstreams: 1
arquivototal.pdf: 1326144 bytes, checksum: 8caf7598b3ff31900cccda592a06981f (MD5)
Previous issue date: 2014-07-25 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work we investigate monotonicity and symmetry properties of of solutions to
equations involving the p-Laplace-Beltrami operator in hyperbolic space and sphere. The
main tools used to obtain the result is a variant of the method of moving planes and a
careful use of the maximum and comparison principles / Neste trabalho investigamos propriedades de simetria e monotonicidade de soluções para
equações envolvendo o operador de p-Laplace-Beltrami no espaço hiperbólico e na esfera.
As principais ferramentas empregadas para obtenção do resultado é uma variante do
método dos planos móveis e um cuidadoso uso de princípios do máximo e de comparação
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Symmetry in a free boundary problem / Symmetri i ett frirandsproblemBasilio Kuosmanen, Seuri January 2023 (has links)
We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. These results are achieved through the use of comparison arguments, the celebrated method of moving planes, and several elaborated techniques from existing literature. / Vi studerar ett Bernoulli frirandsproblem för Laplaceoperatorn med diskontinuerliga randdata. Detta görs via en variationsformulering av problemet. Vi visar att en svag lösning existerar för problemet. Utöver det visar vi bland annat att den svaga lösningen har symmetriegenskaper. Dessa resultat uppnås genom jämförelseargument, den välkända "moving-plane” metoden, samt flera utarbetade tekniker från befintlig litteratur.
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