World's Best Scientists 2026 revealed!
Nonlinear Analysis, Theory, Methods and Applications
H-index 21

Nonlinear Analysis, Theory, Methods and Applications

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 56 119 172 21

Additional Metrics

Number of Best Scientists*: 129
Documents by Best Scientists*: 184
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 141
SCIMAGO SJR: 1.532
Impact Factor: 1.3

Overview

Top Research Topics at Nonlinear Analysis-theory Methods & Applications?

The main points discussed in the journal deals with Mathematical analysis, Nonlinear system, Pure mathematics, Boundary value problem and Applied mathematics. Differential equation, Uniqueness, Bounded function, Partial differential equation and Elliptic curve are all topics related to Mathematical analysis research discussed. Topics in Bounded function were tackled in line with various other fields like Domain (mathematical analysis) and Combinatorics.

The studies in Nonlinear system featured incorporate elements of Initial value problem and Mathematical physics. While work presented in the journal provided substantial information on Pure mathematics, it also covered topics in Discrete mathematics, Class (set theory) and Type (model theory). Discussions in Nonlinear Analysis-theory Methods & Applications are anchored in the subject of Discrete mathematics and the similar topic of Fixed point.

Nonlinear Analysis-theory Methods & Applications investigates Boundary value problem research which frequently intersects with Boundary (topology).

  • Mathematical analysis (64.08%)
  • Nonlinear system (19.53%)
  • Pure mathematics (17.92%)

What are the most cited papers published in the journal?

  • Boundary regularity for solutions of degenerate elliptic equations (1051 citations)
  • Fixed point theorems in partially ordered metric spaces and applications (954 citations)
  • C1 + α local regularity of weak solutions of degenerate elliptic equations (917 citations)

Research areas of the most cited articles at Nonlinear Analysis-theory Methods & Applications:

The journal papers aim to foster the development of research in Mathematical analysis, Nonlinear system, Pure mathematics, Boundary value problem and Differential equation. The most cited papers primarily discuss Mathematical analysis topics, particularly Banach space, Uniqueness, Fixed point, Partial differential equation and Fixed-point theorem. The published articles investigate Nonlinear system research which frequently intersects with Applied mathematics.

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

  • Quantum mechanics
  • Mathematical analysis
  • Nonlinear system

The previous edition focused in particular on these issues:

The primary areas of discussion in the journal are Mathematical analysis, Pure mathematics, Applied mathematics, Uniqueness and Bounded function. It connects the study in Mathematical analysis with the closely related area of Nonlinear system. Some problems in Pure mathematics that were presented in it overlapped with concepts under Flow (mathematics), p-Laplacian, Curvature and Domain (mathematical analysis).

The studies on Applied mathematics discussed can also contribute to research in the domains of Laplace transform, Sharpening, Parallel transport, Order (group theory) and Ricci curvature. The concepts on Uniqueness presented in the journal can also apply to other research fields, including Class (set theory), Probabilistic logic, Boundary (topology), Spacetime and Space (mathematics). The research on Bounded function tackled can also make contributions to studies in the areas of Invertible matrix, Dirichlet problem, Open set, Gradient estimate and Ricci flow.

The most cited articles from the last journal are:

  • Convergence of elastic flows of curves into manifolds (6 citations)
  • Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators (2 citations)
  • Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit (1 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 Nonlinear Analysis-theory Methods & Applications (based on the number of publications) are:

  • V. Lakshmikantham (78 papers) absent at the last edition,
  • Donal O'Regan (51 papers) absent at the last edition,
  • Weigao Ge (48 papers) absent at the last edition,
  • Nikolaos S. Papageorgiou (45 papers) absent at the last edition,
  • Naseer Shahzad (40 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 Nonlinear Analysis-theory Methods & Applications (based on the number of publications) are:

  • Lanzhou University (130 papers) absent at the last edition,
  • Chinese Academy of Sciences (104 papers) absent at the last edition,
  • Florida Institute of Technology (104 papers) absent at the last edition,
  • Fudan University (103 papers) absent at the last edition,
  • University of Paris (99 papers) absent at the last 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 2022 edition, 36.84% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 4.17% were posted by at least one author from the top 10 institutions publishing in the journal. Another 4.17% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.67% of all publications and 75.00% 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

  • The fractional Calderón problem: Low regularity and stability

    Angkana Rüland;Mikko Salo

    (2020)
    115 Citations
  • A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equations via the linear superposition principle

    Chun-Ku Kuo;Wen-Xiu Ma

    (2020)
    68 Citations
  • Existence and multiplicity results for a new p(x)-Kirchhoff problem

    Mohamed Karim Hamdani;Abdellaziz Harrabi;Abdellaziz Harrabi;Abdellaziz Harrabi;Foued Mtiri;Dušan D. Repovš

    (2020)
    58 Citations
  • A variational approach to parabolic equations under general and p,q-growth conditions

    Paolo Marcellini

    (2020)
    53 Citations
  • Local Lipschitz continuity for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si7.svg"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:math>PDEs with explicit <mml:math xmlns:mml="http://www.w3.org/1998/

    (2022)
    38 Citations
  • Anisotropic equations with indefinite potential and competing nonlinearities

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

    (2020)
    36 Citations
  • Radial symmetry of solution for fractional p−Laplacian system

    Lihong Zhang;Bashir Ahmad;Guotao Wang;Guotao Wang;Xueyan Ren

    (2020)
    34 Citations
  • A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy

    Youshan Tao;Michael Winkler

    (2020)
    34 Citations
  • The evolution fractional p-Laplacian equation in RN. Fundamental solution and asymptotic behaviour

    J.L. Vázquez

    (2020)
    33 Citations
  • A measure theoretical approach to the mean-field maximum principle for training NeurODEs

    (2021)
    33 Citations

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Best Scientists Contributing to This Journal