Recently, Giorgio Fusco and the author in [22. Alikakos , N.D. , Fusco , G. ( 2011 ). Entire solutions to equivariant elliptic systems with variational structure . Arch. Rat. Mech. Anal. 202 : 567 - 597 .[CrossRef], [Web of Science ?]View all references] studied the system ??u? a??? W u (u)? =? 0 for a class of potentials that possess several global minima and are invariant under a general finite reflection group, and established existence of equivariant solutions connecting the minima in certain directions at infinity, together with an estimate. In this paper a new proof is given which, in particular, avoids both the introduction of a pointwise constraint in the minimization process and the equivariant extensions of the various test functions.View full textDownload full textKeywordsElliptic systems, Phase translations, Reflection group, Variational calculusMathematics Subject Classification35J20, 35J50Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; var addthis_config = {"data_track_addressbar":true,"ui_click":true}; Add to shortlist Link Permalink http://dx.doi.org/10.1080/03605302.2012.721851
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机译：最近，乔治·富斯科（Giorgio Fusco）和作者在[22。 Alikakos，N.D.，Fusco，G.（2011）。具有变结构的等变椭圆方程组的整体解。拱。鼠。机甲肛门202：567-597。[CrossRef]，[Web of Science？]查看所有参考]研究了该系统？一个？？？ W u （u）？ =？对于具有多个全局极小值并且在一般有限反射组下不变的一类势能，将其设为0，并确定存在存在等价解的等价解，这些等价解将极小值在某些方向上与无穷大相连，并附带一个估计。本文提供了一个新的证明，特别是避免了在最小化过程中引入逐点约束以及各种测试函数的等变扩展。查看全文下载全文关键词主题分类：35J20、35J50相关var addthis_config = {ui_cobrand：“泰勒和弗朗西斯在线”，servicescompact：“ citeulike，netvibes，twitter，technorati，delicious，linkedin，facebook，stumbleupon，digg，google，更多”，发布：“ ra-4dff56cd6bb1830b” }; var addthis_config = {“ data_track_addressbar”：true，“ ui_click”：true};添加到候选列表链接永久链接http://dx.doi.org/10.1080/03605302.2012.721851
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