The DOI matches its Crossref record.
Minimal Surfaces and Functions of Bounded Variation
Abstract
The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after the foundation of the calculus of variat
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
Chan, T. F., Esedoglu, S., & Nikolova, M. (2006) · SIAM Journal on Applied Mathematics · doi:10.1137/040615286 · Cited by 1,049
Fast, robust total variation-based reconstruction of noisy, blurred images
Vogel, C. R., & Oman, M. E. (1998) · IEEE Transactions on Image Processing · doi:10.1109/83.679423 · Cited by 601
Schoen, R. M. (1989) · Lecture Notes in Mathematics · doi:10.1007/bfb0089180 · Cited by 522
A study on continuous max-flow and min-cut approaches
Yuan, J., Bae, E., & Tai, X.-C. (2010) · 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition · doi:10.1109/cvpr.2010.5539903 · Cited by 237
Varifold solutions to volume-preserving mean curvature flow: existence and weak–strong uniqueness
Poiatti, A. (2026) · Mathematische Annalen · doi:10.1007/s00208-026-03421-9 · Cited by 4
Metadata
- Authors
- Giusti, E.
- Venue
- Birkhäuser Boston eBooks
- Publisher
- Birkhäuser Boston
- Published
- 1984
- OpenAlex
- W1489458628
- Cited by
- 2,261
- References
- 0
- FWCI
- 11.18
- Type
- book
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Minimal Surfaces and Functions of Bounded Variation. https://app.cochat.ai/papers/10.1007/978-1-4684-9486-0
- The paper
- Giusti, E. (1984). Minimal Surfaces and Functions of Bounded Variation. Birkhäuser Boston eBooks. https://doi.org/10.1007/978-1-4684-9486-0
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
