Advances in Nonlinear Analysis

Top Research Topics at Advances in Nonlinear Analysis?

The journal was organized to reinforce research efforts on Mathematical analysis, Pure mathematics, Geometry and topology, Mathematical physics and Applied mathematics. The studies in Mathematical analysis featured incorporate elements of Mountain pass theorem and Kirchhoff type. The journal holds forums on Pure mathematics that merges themes from other disciplines such as Type (model theory), Class (set theory), p-Laplacian, Uniqueness and Elliptic systems.

It facilitates the exploration of Geometry and topology in relation to the field of Ground state. The work tackled in the journal goes beyond the discipline of Mathematical physics as it also encompasses Schrödinger equation.

• Mathematical analysis (43.56%)
• Pure mathematics (22.03%)
• Geometry and topology (21.29%)

What are the most cited papers published in the journal?

• Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations (154 citations)
• Regularity for minimizers for functionals of double phase with variable exponents (117 citations)
• Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent (98 citations)

Research areas of the most cited articles at Advances in Nonlinear Analysis:

The journal articles mainly deal with areas of study such as Mathematical analysis, Geometry and topology, Pure mathematics, Applied mathematics and Sobolev space. The most cited papers explore topics in Mathematical analysis which can be helpful for research in disciplines like Kirchhoff equations and Kirchhoff type. The most cited articles address concerns in Pure mathematics which are intertwined with other disciplines, such as Class (set theory), Norm (mathematics) and Type (model theory).

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

• Mathematical analysis
• Geometry
• Algebra

The previous edition focused in particular on these issues:

The journal investigates studies in Mathematical analysis, Pure mathematics, Mathematical physics, Type (model theory) and Critical exponent. The studies in Variable (mathematics) under the umbrella field of Mathematical analysis overlap with concepts in Decomposition (computer science). The Pure mathematics works featured in it incorporate elements from Singular integral and Periodic orbits.

The journal tackles research in Schrödinger's cat as part of the general discipline of Mathematical physics, however, it also discusses concepts in Liouville equation, Multiplicity (chemistry) and Qualitative analysis. The tackled Schrödinger's cat research is interrelated with Class (set theory) which concerns subjects like Symmetry in biology. Logarithm, Banach space and Bilinear interpolation are some topics wherein Type (model theory) research discussed in Advances in Nonlinear Analysis have an impact.

The most cited articles from the last journal are:

• Existence results for double phase problems depending on Robin and Steklov eigenvalues for the p-Laplacian (5 citations)
• Solving Composite Fixed Point Problems with Block Updates (4 citations)
• Blowing-up solutions of the time-fractional dispersive equations (4 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 Nonlinear Analysis (based on the number of publications) are:

• Nikolaos S. Papageorgiou (8 papers) published 2 papers at the last edition, 1 less than at the previous edition,
• Marco Squassina (8 papers) absent at the last edition,
• Vicenţiu D. Rădulescu (7 papers) absent at the last edition,
• Xianhua Tang (6 papers) absent at the last edition,
• Patrizia Pucci (6 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 Nonlinear Analysis (based on the number of publications) are:

• Central South University (12 papers) published 1 paper at the last edition, 6 less than at the previous edition,
• King Saud University (9 papers) published 2 papers at the last edition the same number as at the previous edition,
• National Technical University (8 papers) published 2 papers at the last edition, 1 less than at the previous edition,
• University of Perugia (8 papers) published 1 paper at the last edition the same number as at the previous edition,
• Rzeszów University of Technology (8 papers) published 2 papers at the last edition the same number as 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, 4.26% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 26.67% were posted by at least one author from the top 10 institutions publishing in the journal. Another 11.11% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.00% of all publications and 42.22% 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.