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Çë°ïæ¿´ÕâÆªÎÄÕÂÊÇ·ñ±»SCIÊÕ¼¡£Ð»Ð»£¡ÎÄÕÂÐÅÏ¢ÈçÏ£º ÔÓÖ¾Ãû£ºNonlinear Analysis: Theory, Methods & Applications ISSN: 0362-546X ÎÄÕÂÃû£ºNonexistence and existence results of an optimal control problem governed by a class of multisolution semilinear elliptic equations ×÷ÕßÃû£ºShu Luan ¾í±êÒ³Â룺128: 380-390 Äê·Ý£º 2015 |
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luanshu(Ðľ²_ÒÀÈ»´ú·¢): ½ð±Ò+20, ¸ÐлӦÖú 2015-10-21 19:12:56
Ðľ²_ÒÀÈ»: LS-EPI+1, ¸ÐлӦÖú 2015-10-21 19:13:02
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luanshu(Ðľ²_ÒÀÈ»´ú·¢): ½ð±Ò+20, ¸ÐлӦÖú 2015-10-21 19:12:56
Ðľ²_ÒÀÈ»: LS-EPI+1, ¸ÐлӦÖú 2015-10-21 19:13:02
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SCIÊÕ¼ Nonexistence and existence results of an optimal control problem governed by a class of multisolution semilinear elliptic equations ×÷Õß:Luan, S (Luan, Shu) NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS ¾í: 128 Ò³: 380-390 DOI: 10.1016/j.na.2015.08.015 ³ö°æÄê: NOV 2015 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª An optimal control problem governed by a class of multisolution semilinear elliptic equations is studied in this paper. It is pointed out that the control domain and cost functional are nonconvex. By analyzing the maximum condition for an optimal relaxed control, one nonexistence and some existence results of an optimal pair are obtained. The idea of using relaxed controls is mainly derived from the paper (Lou, 2007) by Lou where a linear and well-posed controlled system was considered. The present paper is mainly devoted to discussing the case not contained in Lou (2007). (c) 2015 Elsevier Ltd. All rights reserved. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Optimal control; Semilinear elliptic equation; Multisolution; Nonexistence; Existence; Relaxed control KeyWords Plus:CONVEXITY ASSUMPTIONS; RELAXED CONTROL; SYSTEMS ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Luan, S (ͨѶ×÷Õß) Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China. µØÖ·: [ 1 ] Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China µç×ÓÓʼþµØÖ·:luans257@yeah.net »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National Natural Science Foundation of China 11301472 Natural Science Foundation of Guangdong Province 2014A030307011 Training Program Project for Outstanding Young Teachers of Colleges and Universities in Guangdong Province Yq2014116 Characteristic Innovation Project of Common Colleges and Universities in Guangdong Province 2014KTSCX158 Innovation and Developing School Project of Department of Education of Guangdong Province 2014KZDXM065 ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000361827300021 ISSN: 0362-546X eISSN: 1873-5215 ÆÚ¿¯ÐÅÏ¢ Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports® ÆäËûÐÅÏ¢ IDS ºÅ: CS1LR Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 22 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |

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