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Variational problems with topological constraints

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Publication:1567048
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DOI10.1007/s005260050150zbMath0961.49023OpenAlexW2023106764MaRDI QIDQ1567048

Peter Laurence, Edward W. Stredulinsky

Publication date: 6 May 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050150


zbMATH Keywords

Sobolev spaceminimizationDirichlet integralSobolev functionsdecreasing rearrangementtopological rearrangement


Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)


Related Items (2)

Optimal regularity in a variational problem for current sheets in ideal magnetohydrodynamics ⋮ Two-dimensional magnetohydrodynamic equilibria with prescribed topology




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