One-dimensional non-coercive problems of the calculus of variations

被引：0
|
作者：
Marcelli C. [1 ]
机构：
[1] Dipartimento di Matematica, Università di Perugia, 06123 Perugia
来源：
Annali di Matematica Pura ed Applicata | 1997年 / 173卷 / 1期
关键词：
D O I：
10.1007/BF01783466
中图分类号：
学科分类号：
摘要：
We establish a necessary and sufficient condition for the existence of the minimum of the functional ∫abf(t, v′(t))dt in the class script W signdp = {v ∈ W1,p([a,b]): v(a) = 0, v(b) = d}, in terms of a limitation on the slope d. We derive some applications regarding quasi-coercive and non-coercive integrands.
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页码：145 / 161
页数：16
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