On a variational problem with non-differentiable constraints

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作者
Roger Moser
机构
[1] University of Bath,Department of Mathematical Sciences
关键词
49J10; 49N60;
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摘要
We study the regularity of minimizers and critical points of the Dirichlet energy under an integral constraint given by a non-differentiable function. We obtain existence of a Lipschitz continuous minimizer for a relaxed problem. In two dimensions, some regularity can also be proved for critical points.
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页码:119 / 140
页数:21
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