On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations

博士 === 淡江大學 === 數學學系博士班 === 101 === In this thesis, we study the existence of solutions to quasilinear elliptic equations with Dirichlet and Robin conditions, and the uniqueness of solutions under Robin conditions. Also, we investigate the radial symmetric solutions for a Hardy-Sobolev equation and...

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Main Authors:	Yi-Jung Chen, 陳宜榮
Other Authors:	Chuan-Jen Chyan
Format:	Others
Language:	en_US
Published:	2013
Online Access:	http://ndltd.ncl.edu.tw/handle/74432510969925170840

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spelling	ndltd-TW-101TKU054790092015-10-13T22:35:33Z http://ndltd.ncl.edu.tw/handle/74432510969925170840 On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations 一些橢圓偏微分方程解的存在性與唯一性之探討 Yi-Jung Chen 陳宜榮博士淡江大學數學學系博士班 101 In this thesis, we study the existence of solutions to quasilinear elliptic equations with Dirichlet and Robin conditions, and the uniqueness of solutions under Robin conditions. Also, we investigate the radial symmetric solutions for a Hardy-Sobolev equation and derive the result that there exists at most one positive radial symmetric singular solution for the supercritical case. Chuan-Jen Chyan 錢傳仁 2013 學位論文 ; thesis 66 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	博士 === 淡江大學 === 數學學系博士班 === 101 === In this thesis, we study the existence of solutions to quasilinear elliptic equations with Dirichlet and Robin conditions, and the uniqueness of solutions under Robin conditions. Also, we investigate the radial symmetric solutions for a Hardy-Sobolev equation and derive the result that there exists at most one positive radial symmetric singular solution for the supercritical case.
author2	Chuan-Jen Chyan
author_facet	Chuan-Jen Chyan Yi-Jung Chen 陳宜榮
author	Yi-Jung Chen 陳宜榮
spellingShingle	Yi-Jung Chen 陳宜榮 On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
author_sort	Yi-Jung Chen
title	On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
title_short	On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
title_full	On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
title_fullStr	On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
title_full_unstemmed	On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations
title_sort	on the existence and uniqueness of solutions for some elliptic partial differential equations
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/74432510969925170840
work_keys_str_mv	AT yijungchen ontheexistenceanduniquenessofsolutionsforsomeellipticpartialdifferentialequations AT chényíróng ontheexistenceanduniquenessofsolutionsforsomeellipticpartialdifferentialequations AT yijungchen yīxiētuǒyuánpiānwēifēnfāngchéngjiědecúnzàixìngyǔwéiyīxìngzhītàntǎo AT chényíróng yīxiētuǒyuánpiānwēifēnfāngchéngjiědecúnzàixìngyǔwéiyīxìngzhītàntǎo
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On the Existence and Uniqueness of Solutions for Some Elliptic Partial Differential Equations

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