The logarithmic boundary measure with an application to variational integrals

DOI10.1016/0022-247X(83)90067-7zbMath0517.49030OpenAlexW2073265516MaRDI QIDQ1053273

Peter Lindqvist

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90067-7

zbMATH Keywords

variational integralsHilbert's 20th problemlogarithmic boundary measure

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Continuity and differentiation questions (26B05)

Cites Work

• Equicontinuity theorem with an application to variational integrals
• General theorems on semicontinuity and on convergence with a functional
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• On the Definition and Properties of Certain Variational Integrals
• Symmetrization of Rings in Space
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