RADIALLY SYMMETRICAL SOLUTIONS OF A CLASS OF PROBLEMS OF THE CALCULUS OF VARIATIONS WITHOUT CONVEXITY ASSUMPTIONS

被引：6

作者：

CELLINA, A

FLORES-BAZAN, F

机构：

[1] S.I.S.S.A., Strada Costiera 11, Trieste

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1992年 / 9卷 / 04期

关键词：

CALCULUS OF VARIATIONS; CONVEX FUNCTIONALS; ROTATION GROUP; RADIALLY SYMMETRICAL SOLUTIONS;

D O I：

10.1016/S0294-1449(16)30235-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the functional I(u) = integral-B a(Absolute value of x)u(x)dx + integral-B h(Absolute value of x, DELTAu(x)-lambdau(x))dx attains a minimum on the space W0(2,p)(B).

引用

页码：465 / 477

页数：13

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