\u9001\u4ea4\u8005: sgy 2005\u5e7410\u670813\u65e514:36:51 \u4e8e [\u6559\u80b2\u4e0e\u5b66\u672f]http:\/\/www.bbsland.com <\/p>\n
\u5728\u4e18\u6210\u6850\u6307\u8d23\u7530\u521a\u6284\u88ad(\u81ea\u7136\u4e5f\u6307\u5e86\u6770\u6284\u88ad\u4e86)\u4e4b\u540e\uff0c\u5e86\u6770\u548c\u7530\u521a\u5df2\u7ecf\u5728
\n\u4ed6\u4eec\u6587\u7ae0\u4e2d\u4f5c\u4e86\u6f84\u6e05\u3002\u770b\u4e86\u4e00\u4e0b\u8fd9\u4e9b\u6f84\u6e05\u4ee5\u53ca\u4e24\u4e2a\u7248\u672c\u7684\u6587\u7ae0\uff0c\u611f\u89c9
\n\u6ca1\u6709\u6284\u88ad\u6216\u527d\u7a83\u3002\u7b2c\u4e00\u4e2aversion\u4e2d\uff0c\u7684\u786e\u6709”main challenge”\u8fd9
\n\u6837\u7684\u8bf4\u6cd5\uff0c\u4f46\u8fd9\u548c\u6284\u88ad\u65e0\u5173\u3002\u5373\u4f7f\u7ed9credit\u65f6\u6ca1\u6709\u7ed9\u5f97\u8ba9\u4e18\u6210\u6850\u8212\u670d\uff0c
\n\u4e5f\u662f\u4e00\u4e2a\u6c9f\u901a\u95ee\u9898\uff0c\u5c31\u50cf\u6d2a\u5bb6\u5174\u548c\u4e18\u6210\u6850\u5173\u4e8e\u90a3\u672c\u4e66\u7684\u7f72\u540d\u95ee\u9898\u4e00\u6837\uff0c
\n\u5b8c\u5168\u53ef\u4ee5\u4ee5\u6b63\u5e38\u7684\u6c9f\u901a\u6765\u89e3\u51b3\u3002<\/p>\n
\u6570\u5b66\u754c\u7684\u89c4\u77e9\u901a\u5e38\u662f\uff1a\u4e00\u65e6\u6709\u4eba\u660e\u786e\u5c06\u4e00\u4e2a\u95ee\u9898\u4f5c\u4e3aopen problem
\n\u6216open question\u63d0\u51fa\uff0c\u4eba\u4eba\u90fd\u53ef\u4ee5\u53bb\u505a\uff0c\u8c01\u5148\u5199\u51fa\u6587\u7ae0\u7684\u8c01\u62ffcredit\u3002
\n\u6240\u4ee5\uff0c\u5373\u4f7f\u4e0d\u662f\u5185\u884c\uff0c\u4e5f\u53ef\u4ee5\u770b\u51fa\u6240\u8c13\u7684\u6284\u88ad\u6307\u63a7\u662f\u4e0d\u6210\u7acb\u7684\u3002
\n\u5982\u679c\u6210\u7acb\uff0c\u4ece\u6b64\u4ee5\u540e\u6ca1\u6709\u4eba\u6562\u505a\u4efb\u4f55\u4eba\u63d0\u51fa\u7684open problem\u6216open
\nquestion\u4e86\u3002<\/p>\n
\u4e0b\u9762\u662f\u5e86\u6770\u548c\u7530\u521a\u6240\u4e13\u95e8\u6f84\u6e05\u8fd9\u4e00\u4e2a\u4e8b\u5b9e\u7684\u4e09\u4e2a\u6ce8\uff1a<\/p>\n
1. After we posted our first version of this paper, we got
\nsome feedbacks indirectly about our main result compared to
\nprevious results on this topic. In this new version we
\nstated our main result more precisely and gave more specific
\nreferences for a clearer comparison of our main result
\nto the previous ones.<\/p>\n
2. The uniqueness problem addressed here was referred as the
\nglobal uniqueness of stable CHC surfaces in [HY]. Their
\nresult on this global uniqueness was stated in Theorem 5.1
\nin [HY]. They proved that for q > 1\/2 , if H sufficiently
\nsmall, there is a unique stable constant mean curvature
\nsurface of mean curvature H outside BH^{\u2212q}(0). It has been
\na long-standing question whether stable constant mean
\ncurvature surfaces are unique outside a fixed compact subset.
\nIn the paragraph after Theorem 5.1 on page 301, Huisken and
\nYau stated: \u201cit is an open question whether stable
\nconstant mean curvature surfaces are actually completely
\nunique outside a fixed compact subset.\u201d Our main theoerm
\ngives an affirmative answer to this question.<\/p>\n
3. In [HY], a global estimate was sought after (cf. Lemma 5.6
\nin [HY]), with a compromise to assume that the inner radius
\nis not smaller than H^{\u2212q} for q > 1\/2 . They stated in the
\nparagraph after Theorem 5.1 (page 21, [HY]) that their
\nassumption on inner radius \u201cseems to be optimal from
\na technical point of view\u201d. While in this paper we do
\ndifferent estimates in three different scales.
\nParticularly we establish some decay estimate for the
\nintermediate scales by using an asymptotic
\nanalysis developed in [QT].<\/p>\n
http:\/\/www1.bbsland.com\/education\/messages\/243429.html<\/p>\n","protected":false},"excerpt":{"rendered":"
\u9001\u4ea4\u8005: sgy 2005\u5e7410\u670813\u65e514:36:51 \u4e8e [\u6559\u80b2\u4e0e\u5b66\u672f]http:\/\/www.bbsland.com \u5728\u4e18\u6210\u6850\u6307\u8d23\u7530\u521a\u6284\u88ad(\u81ea\u7136\u4e5f\u6307\u5e86\u6770\u6284\u88ad\u4e86)\u4e4b\u540e\uff0c\u5e86\u6770\u548c\u7530\u521a\u5df2\u7ecf\u5728 \u4ed6\u4eec\u6587\u7ae0\u4e2d\u4f5c\u4e86\u6f84\u6e05\u3002\u770b\u4e86\u4e00\u4e0b\u8fd9\u4e9b\u6f84\u6e05\u4ee5\u53ca\u4e24\u4e2a\u7248\u672c\u7684\u6587\u7ae0\uff0c\u611f\u89c9 \u6ca1\u6709\u6284\u88ad\u6216\u527d\u7a83\u3002\u7b2c\u4e00\u4e2aversion\u4e2d\uff0c\u7684\u786e\u6709”main challenge”\u8fd9 \u6837\u7684\u8bf4\u6cd5\uff0c\u4f46\u8fd9\u548c\u6284\u88ad\u65e0\u5173\u3002\u5373\u4f7f\u7ed9credit\u65f6\u6ca1\u6709\u7ed9\u5f97\u8ba9\u4e18\u6210\u6850\u8212\u670d\uff0c \u4e5f\u662f\u4e00\u4e2a\u6c9f\u901a\u95ee\u9898\uff0c\u5c31\u50cf\u6d2a\u5bb6\u5174\u548c\u4e18\u6210\u6850\u5173\u4e8e\u90a3\u672c\u4e66\u7684\u7f72\u540d\u95ee\u9898\u4e00\u6837\uff0c \u5b8c\u5168\u53ef\u4ee5\u4ee5\u6b63\u5e38\u7684\u6c9f\u901a\u6765\u89e3\u51b3\u3002 \u6570\u5b66\u754c\u7684\u89c4\u77e9\u901a\u5e38\u662f\uff1a\u4e00\u65e6\u6709\u4eba\u660e\u786e\u5c06\u4e00\u4e2a\u95ee\u9898\u4f5c\u4e3aopen problem \u6216open question\u63d0\u51fa\uff0c\u4eba\u4eba\u90fd\u53ef\u4ee5\u53bb\u505a\uff0c\u8c01\u5148\u5199\u51fa\u6587\u7ae0\u7684\u8c01\u62ffcredit\u3002 \u6240\u4ee5\uff0c\u5373\u4f7f\u4e0d\u662f\u5185\u884c\uff0c\u4e5f\u53ef\u4ee5\u770b\u51fa\u6240\u8c13\u7684\u6284\u88ad\u6307\u63a7\u662f\u4e0d\u6210\u7acb\u7684\u3002 \u5982\u679c\u6210\u7acb\uff0c\u4ece\u6b64\u4ee5\u540e\u6ca1\u6709\u4eba\u6562\u505a\u4efb\u4f55\u4eba\u63d0\u51fa\u7684open problem\u6216open question\u4e86\u3002 \u4e0b\u9762\u662f\u5e86\u6770\u548c\u7530\u521a\u6240\u4e13\u95e8\u6f84\u6e05\u8fd9\u4e00\u4e2a\u4e8b\u5b9e\u7684\u4e09\u4e2a\u6ce8\uff1a 1. After we posted our first version of this paper, we got some feedbacks indirectly about our main result compared to previous results on this topic. In this new version we stated our main … Continue reading \u5927\u5bb6\u90fd\u559c\u6b22\u6f84\u6e05\u8bf4\u660e\uff0c\u6211\u6765\u8f6c\u5e86\u6770\u548c\u7530\u521a\u7684\u6f84\u6e05\u8bf4\u660e<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":131,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-143","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/pages\/143","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/comments?post=143"}],"version-history":[{"count":0,"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/pages\/143\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/pages\/131"}],"wp:attachment":[{"href":"https:\/\/www.jackypeng.com\/blog\/wp-json\/wp\/v2\/media?parent=143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}