Advances in Calculus of Variations

Top Research Topics at Advances in Calculus of Variations?

The journal is organized to address concerns in the fields of Mathematical analysis, Pure mathematics, Geometry and topology, Boundary (topology) and Combinatorics. While Mathematical analysis is the focus of it, it also provided insights into the studies of Surface (mathematics) and Type (model theory). The Pure mathematics works featured in Advances in Calculus of Variations incorporate elements from Function (mathematics), Measure (mathematics), Bounded function and Class (set theory).

The Geometry and topology study featured in the journal draws parallels with the field of Applied mathematics.

• Mathematical analysis (40.65%)
• Pure mathematics (31.61%)
• Geometry and topology (24.19%)

What are the most cited papers published in the journal?

• Existence results for fractional p-Laplacian problems via Morse theory (150 citations)
• The second eigenvalue of the fractional p-Laplacian (140 citations)
• Classical solutions to the Dirichlet problem for Willmore surfaces of revolution (60 citations)

Research areas of the most cited articles at Advances in Calculus of Variations:

The most cited publications mostly deal with topics like Mathematical analysis, Combinatorics, p-Laplacian, Boundary (topology) and Pure mathematics. Mathematical analysis study tackled in the published articles is connected to the field of Surface of revolution. Pure mathematics research presented in the most cited articles encompasses a variety of subjects, including Levi-Civita connection and Curvature of Riemannian manifolds.

What topics the last edition of the journal is best known for?

• Mathematical analysis
• Geometry
• Pure mathematics

The previous edition focused in particular on these issues:

Advances in Calculus of Variations was organized to reinforce research efforts on Geometry and topology, Mathematical analysis, Pure mathematics, Zero (complex analysis) and Boundary (topology). While it focused on Geometry and topology, it was also able to explore topics like Bounded variation, Sobolev inequality, Applied mathematics, Infinity Laplacian and Monotonic function. Issues in Mathematical analysis were discussed, taking into consideration concepts from other disciplines like Curvature, Scaling and Constant (mathematics).

The journal discusses concepts in Sobolev space, Nirenberg and Matthaei experiment, Lipschitz continuity and Heisenberg group under Pure mathematics and how they intertwine with disciplines like Degenerate energy levels. The journal deals with Zero (complex analysis) in conjunction with Hamilton–Jacobi equation and similar fields in Mathematical physics, Limit (mathematics), Ergodic theory and Hamiltonian (control theory). Boundary (topology) research featured in Advances in Calculus of Variations incorporates concerns from various other topics such as Hölder condition and Elliptic operator.

The most cited articles from the last journal are:

• Constant sign and nodal solutions for superlinear double phase problems (26 citations)
• Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations (14 citations)
• Phase-field approximation for a class of cohesive fracture energies with an activation threshold (10 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Advances in Calculus of Variations (based on the number of publications) are:

• Antonin Chambolle (5 papers) published 2 papers at the last edition,
• Jean-Philippe Mandallena (5 papers) published 1 paper at the last edition,
• Gianni Dal Maso (4 papers) absent at the last edition,
• Jani Onninen (4 papers) absent at the last edition,
• Heiner Olbermann (3 papers) published 1 paper at the last edition the same number as at the previous edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Advances in Calculus of Variations (based on the number of publications) are:

• Sapienza University of Rome (10 papers) published 3 papers at the last edition, 1 less than at the previous edition,
• University of Naples Federico II (9 papers) absent at the last edition,
• Max Planck Society (8 papers) absent at the last edition,
• University of Florence (8 papers) published 3 papers at the last edition the same number as at the previous edition,
• École Polytechnique (6 papers) published 2 papers at the last edition, 1 more than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 3.64% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.75% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.32% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 26.42% of all publications and 41.51% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.