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Calculus of Variations and Partial Differential Equations
H-index 26

Calculus of Variations and Partial Differential Equations

0944-2669

Published by: Springer

https://www.springer.com/journal/526

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 32 121 184 26

Additional Metrics

Number of Best Scientists*: 135
Documents by Best Scientists*: 199
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 87
SCIMAGO SJR: 2.405
Impact Factor: 2

Overview

Top Research Topics at Calculus of Variations and Partial Differential Equations?

The journal facilitates discussions on Mathematical analysis, Combinatorics, Pure mathematics, Bounded function and Omega. Mathematical analysis research featured in Calculus of Variations and Partial Differential Equations incorporates concerns from various other topics such as Type (model theory), Boundary (topology), Mean curvature, Curvature and Nonlinear system. The majority of Mean curvature studies presented zero in on Mean curvature flow.

Scalar curvature is part of Curvature studies tackled in the journal. Lambda, Nabla symbol, Energy (signal processing), Sobolev space and Function (mathematics) are some topics wherein Combinatorics research discussed in the journal have an impact. Issues in Pure mathematics were discussed, taking into consideration concepts from other disciplines like Space (mathematics), Class (set theory) and Uniqueness.

The study on Bounded function presented in the journal intersects with subjects under the field of Domain (mathematical analysis). Topics in Omega were tackled in line with various other fields like Domain (ring theory) and Discrete mathematics.

  • Mathematical analysis (53.54%)
  • Combinatorics (23.23%)
  • Pure mathematics (22.89%)

What are the most cited papers published in the journal?

  • Local mountain passes for semilinear elliptic problems in unbounded domains (682 citations)
  • On the existence of soliton solutions to quasilinear Schrödinger equations (300 citations)
  • Asymptotics for the minimization of a Ginzburg-Landau functional (279 citations)

Research areas of the most cited articles at Calculus of Variations and Partial Differential Equations:

The main points discussed in the most cited publications deal with Mathematical analysis, Combinatorics, Pure mathematics, Nonlinear system and Omega. The most cited publications center on topics in Mathematical analysis, with a focus on Bounded function. The published papers address concerns in Combinatorics which are intertwined with other disciplines, such as Lambda, Energy (signal processing) and Sobolev space.

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

  • Mathematical analysis
  • Quantum mechanics
  • Geometry

The previous edition focused in particular on these issues:

The main research concerns discussed in Calculus of Variations and Partial Differential Equations are Combinatorics, Pure mathematics, Mathematical analysis, Bounded function and Type (model theory). It explores issues in Combinatorics which can be linked to other research areas like Nabla symbol, Omega, Domain (ring theory), Boundary (topology) and Sobolev space. Calculus of Variations and Partial Differential Equations deals with Pure mathematics in conjunction with Sequence and similar fields in Uniform boundedness.

Calculus of Variations and Partial Differential Equations explores topics in Mathematical analysis which can be helpful for research in disciplines like Flow (mathematics), Degenerate energy levels and Nonlinear system. Bounded function research presented in Calculus of Variations and Partial Differential Equations encompasses a variety of subjects, including Uniqueness and Domain (mathematical analysis). In Calculus of Variations and Partial Differential Equations, Order (ring theory) and Dimension (graph theory) are investigated in conjunction with one another to address concerns in Type (model theory) research.

The most cited articles from the last journal are:

  • A blow-up result for a semilinear wave equation with scale-invariant damping and mass and nonlinearity of derivative type (10 citations)
  • Characterisation of homogeneous fractional Sobolev spaces (9 citations)
  • A theory of spectral partitions of metric graphs (8 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.

The top authors publishing in Calculus of Variations and Partial Differential Equations (based on the number of publications) are:

  • Juncheng Wei (30 papers) published 2 papers at the last edition the same number as at the previous edition,
  • Jürgen Jost (20 papers) published 1 paper at the last edition,
  • Zhi-Qiang Wang (16 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Stefan Müller (16 papers) published 1 paper at the last edition,
  • Changyou Wang (14 papers) absent at the last 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Calculus of Variations and Partial Differential Equations (based on the number of publications) are:

  • Max Planck Society (76 papers) published 3 papers at the last edition, 1 less than at the previous edition,
  • University of Bonn (64 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Sapienza University of Rome (57 papers) published 5 papers at the last edition, 3 more than at the previous edition,
  • University of Granada (44 papers) published 1 paper at the last edition, 2 less than at the previous edition,
  • Chinese Academy of Sciences (42 papers) published 5 papers at the last edition, 3 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, 3.31% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 12.39% were posted by at least one author from the top 10 institutions publishing in the journal. Another 14.53% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 13.25% of all publications and 59.83% 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.

Top Publications

  • A mass supercritical problem revisited

    Louis Jeanjean;Sheng-Sen Lu;Sheng-Sen Lu

    (2020)
    275 Citations
  • Nonlinear nonhomogeneous singular problems

    Nikolaos S. Papageorgiou;Nikolaos S. Papageorgiou;Vicenţiu D. Rădulescu;Vicenţiu D. Rădulescu;Vicenţiu D. Rădulescu;Dušan D. Repovš;Dušan D. Repovš

    (2020)
    126 Citations
  • Existence results for double phase implicit obstacle problems involving multivalued operators

    Shengda Zeng;Shengda Zeng;Yunru Bai;Leszek Gasiński;Patrick Winkert

    (2020)
    121 Citations
  • Sparsity of solutions for variational inverse problems with finite-dimensional data

    Kristian Bredies;Marcello Carioni

    (2020)
    111 Citations
  • Normalized solutions for a Schrödinger equation with critical growth in $${\mathbb {R}}^{N}$$

    (2021)
    69 Citations
  • Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent

    Tianwen Luo;Edriss S. Titi;Edriss S. Titi;Edriss S. Titi

    (2020)
    52 Citations
  • Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method

    Claudianor O. Alves;Chao Ji

    (2020)
    48 Citations
  • Characterisation of homogeneous fractional Sobolev spaces

    Lorenzo Brasco;David Gómez-Castro;David Gómez-Castro;Juan Luis Vázquez

    (2021)
    47 Citations
  • On global minimizers for a mass constrained problem

    (2021)
    47 Citations
  • New Examples on Lavrentiev Gap Using Fractals

    Anna Kh. Balci;Lars Diening;Mikhail Surnachev

    (2020)
    46 Citations

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