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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
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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
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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
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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®
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IDS ºÅ: CS1LR
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 22
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0

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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 METHO ...

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