Relaxed energies for $H^{1/2}$-maps with values into the circle and measureable weights

DOI10.1512/iumj.2009.58.3239zbMath1173.46017OpenAlexW1963980782MaRDI QIDQ3627572

Adriano Pisante, Vincent Millot

Publication date: 13 May 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2009.58.3239

zbMATH Keywords

relaxed energyfractional Sobolev spacetopological singularitytrace spaceminimal connectionCartesian current

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

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