Journal article
Bubbling with L2-almost constant mean curvature and an Alexandrov-type theorem for crystals
- Abstract:
- A compactness theorem for volume-constrained almost-critical points of elliptic integrands is proven. The result is new even for the area functional, as almost-criticality is measured in an integral rather than in a uniform sense. Two main applications of the compactness theorem are discussed. First, we obtain a description of critical points/local minimizers of elliptic energies interacting with a confinement potential. Second, we prove an Alexandrov-type theorem for crystalline isoperimetric problems.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 397.7KB, Terms of use)
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- Publisher copy:
- 10.1007/s00205-018-1267-8
Authors
- Publisher:
- Springer Nature
- Journal:
- Archive for Rational Mechanics and Analysis More from this journal
- Volume:
- 230
- Issue:
- 3
- Pages:
- 1131-1177
- Publication date:
- 2018-07-13
- Acceptance date:
- 2018-06-01
- DOI:
- EISSN:
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1432-0673
- ISSN:
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0003-9527
- Language:
-
English
- Keywords:
- Pubs id:
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1131613
- Local pid:
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pubs:1131613
- Deposit date:
-
2020-09-11
Terms of use
- Copyright holder:
- Springer-Verlag GmbH Germany
- Copyright date:
- 2018
- Rights statement:
- © Springer-Verlag GmbH Germany, part of Springer Nature(2018)
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Springer Nature at: https://doi.org/10.1007/s00205-018-1267-8
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