EXISTENCE AND NONEXISTENCE RESULTS FOR NONCOERCIVE VARIATIONAL-PROBLEMS AND APPLICATIONS IN ECOLOGY

被引:13
作者
BOTTERON, B
DACOROGNA, B
机构
[1] Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne
关键词
D O I
10.1016/0022-0396(90)90116-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Variational problems without coercivity assumption appear in optimal foraging theory models in behavioural ecology. Using direct methods of the calculus of variations, rearrangement techniques and relaxation theorems, we show that they possess one or no solution in AC-spaces, depending on the prescribed boundary conditions. © 1990.
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页码:214 / 235
页数:22
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