THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS

THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS

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碩士 === 國立臺灣大學 === 數學研究所 === 75 === We use the method of Cheeger And some isoperimetric inequalities to obtain the lower bound of the Laplacian operator for plane domains １ πρ α ≧（── + ── ） ...

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Main Authors: YANG, HAN-JIE, 楊漢傑
Other Authors: WANG, AI-NONG
Format: Others
Language:zh-TW
Online Access:http://ndltd.ncl.edu.tw/handle/45990473938162965595
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spelling ndltd-TW-075NTU024790092016-02-12T04:10:42Z http://ndltd.ncl.edu.tw/handle/45990473938162965595 THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS THEFIRSTEIGENVALUEOFTHELAPLACIANFORFOUNDEDSIMPLYCONNECTEDPLANEDOMAINS YANG, HAN-JIE 楊漢傑 碩士 國立臺灣大學 數學研究所 75 We use the method of Cheeger And some isoperimetric inequalities to obtain the lower bound of the Laplacian operator for plane domains １ πρ α ≧（── + ── ）  ρ Ａ αρ and α≧ tan h（αρ）＋c tan h （───）〕 where ２ ρ：invadius A ：area． WANG, AI-NONG 王藹農 學位論文 ; thesis 0 zh-TW
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language zh-TW
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sources NDLTD
description 碩士 === 國立臺灣大學 === 數學研究所 === 75 === We use the method of Cheeger And some isoperimetric inequalities to obtain the lower bound of the Laplacian operator for plane domains １ πρ α ≧（── + ── ）  ρ Ａ αρ and α≧ tan h（αρ）＋c tan h （───）〕 where ２ ρ：invadius A ：area．
author2 WANG, AI-NONG
author_facet WANG, AI-NONG
YANG, HAN-JIE
楊漢傑
author YANG, HAN-JIE
楊漢傑
spellingShingle YANG, HAN-JIE
楊漢傑
THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
author_sort YANG, HAN-JIE
title THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
title_short THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
title_full THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
title_fullStr THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
title_full_unstemmed THE FIRST EIGENVALUE OF THE LAPLACIAN FOR FOUNDED SIMPLY CONNECTED PLANE DOMAINS
title_sort first eigenvalue of the laplacian for founded simply connected plane domains
url http://ndltd.ncl.edu.tw/handle/45990473938162965595
work_keys_str_mv AT yanghanjie thefirsteigenvalueofthelaplacianforfoundedsimplyconnectedplanedomains
AT yánghànjié thefirsteigenvalueofthelaplacianforfoundedsimplyconnectedplanedomains
AT yanghanjie firsteigenvalueofthelaplacianforfoundedsimplyconnectedplanedomains
AT yánghànjié firsteigenvalueofthelaplacianforfoundedsimplyconnectedplanedomains
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