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Analysis of institutional authors

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Global invertibility of Sobolev maps

Publicated to:Advances in Calculus of Variations. 14 (2): 207-230 - 2021-04-01 14(2), DOI: 10.1515/acv-2018-0053

Authors: Henao D; Mora-Corral C; Oliva M

Affiliations

PiperLab - Author
Pontificia Universidad Católica de Chile - Author
Universidad Autónoma de Madrid - Author
‎ PiperLab, Madrid, Spain - Author
‎ Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile - Author
‎ Univ Autonoma Madrid, Dept Math, Madrid, Spain - Author
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Abstract

© 2019 Walter de Gruyter GmbH, Berlin/Boston 2019. We define a class of Sobolev W1,p (ω, Rn) functions, with p > n - 1, such that its trace on ω is also Sobolev, and do not present cavitation in the interior or on the boundary. We show that if a function in this class has positive Jacobian and coincides on the boundary with an injective map, then the function is itself injective. We then prove the existence of minimizers within this class for the type of functionals that appear in nonlinear elasticity.

Keywords

Global invertibilityNonlinear elasticitySobolev maps

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Advances in Calculus of Variations due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2021, it was in position 11/333, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics. Notably, the journal is positioned above the 90th percentile.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.66. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 2.62 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 5.23 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-13, the following number of citations:

  • WoS: 4
  • Scopus: 11
  • OpenCitations: 7

Impact and social visibility

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Chile.