Advances in Nonlinear Analysis

Scope & Guideline

Exploring the Frontiers of Nonlinear Analysis

Introduction

Explore the comprehensive scope of Advances in Nonlinear Analysis through our detailed guidelines, including its aims and scope. Stay updated with trending and emerging topics, and delve into declining areas to understand shifts in academic interest. Our guidelines also showcase highly cited topics, featuring influential research making a significant impact. Additionally, discover the latest published papers and those with high citation counts, offering a snapshot of current scholarly conversations. Use these guidelines to explore Advances in Nonlinear Analysis in depth and align your research initiatives with current academic trends.
LanguageEnglish
ISSN2191-9496
PublisherDE GRUYTER POLAND SP Z O O
Support Open AccessYes
CountryGermany
TypeJournal
Convergefrom 2012 to 2024
AbbreviationADV NONLINEAR ANAL / Adv. Nonlinear Anal.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND

Aims and Scopes

The journal 'Advances in Nonlinear Analysis' focuses on the development and application of nonlinear analysis across various mathematical disciplines. It aims to publish high-quality research that contributes to the theoretical foundations and practical applications of nonlinear equations and systems.
  1. Nonlinear Partial Differential Equations (PDEs):
    The journal extensively covers research on nonlinear PDEs, including existence, uniqueness, and multiplicity of solutions, as well as qualitative properties such as blow-up behavior and regularity.
  2. Fractional Calculus and Nonlocal Problems:
    There is a significant focus on fractional differential equations and nonlocal problems, exploring their applications in various fields and investigating their mathematical properties.
  3. Variational Methods and Critical Point Theory:
    Many articles utilize variational methods and critical point theory to study nonlinear phenomena, including minimization problems, ground state solutions, and the existence of solutions to boundary value problems.
  4. Applications in Mathematical Physics and Engineering:
    The journal publishes research that connects nonlinear analysis with applications in physics, engineering, and other applied fields, highlighting models that describe real-world phenomena.
  5. Advanced Functional Analysis Techniques:
    The use of advanced functional analysis techniques in studying nonlinear problems is a consistent theme, including the analysis of Sobolev spaces, embeddings, and regularity results.
The journal has seen growth in specific themes that reflect the evolving landscape of nonlinear analysis and its applications. These emerging scopes indicate areas of increasing interest and research activity.
  1. Nonlinear Dynamics and Stability Analysis:
    Recent publications show a growing interest in the dynamics of nonlinear systems and their stability, particularly within the context of fluid dynamics and reaction-diffusion equations.
  2. Fractional Differential Equations:
    There is a marked increase in research on fractional differential equations, highlighting their applications in various fields, including physics and engineering, and their complex mathematical properties.
  3. Nonlocal and Singular Problems:
    Emerging themes include the study of nonlocal and singular problems, focusing on their unique challenges and applications, particularly in the context of fractional calculus.
  4. Numerical and Computational Approaches:
    An upward trend in the inclusion of numerical methods and computational techniques to solve nonlinear problems is evident, reflecting a growing interest in practical applications and simulations.
  5. Complex Systems and Applications:
    Research that connects nonlinear analysis with complex systems, such as biological models and ecological systems, is becoming more prevalent, indicating a multidisciplinary approach to nonlinear analysis.

Declining or Waning

While 'Advances in Nonlinear Analysis' continues to explore a wide range of topics, certain themes appear to be declining in prominence based on recent publications.
  1. Classical Linear Analysis:
    Research focusing on classical linear analysis techniques and solutions appears to be less frequent, as the journal shifts towards more complex nonlinear and fractional analysis topics.
  2. Elementary Mathematical Techniques:
    There is a noticeable decline in papers that employ purely elementary techniques for problem-solving, with a preference for more sophisticated and abstract approaches.
  3. Certain Classical PDEs:
    While nonlinear PDEs remain a core focus, specific classical PDEs that were once popular in submissions, like the heat equation in its simplest forms, seem to be receiving less attention.

Similar Journals

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Bridging Theory and Application in Engineering and Physics
Publisher: WALTER DE GRUYTER GMBHISSN: 1565-1339Frequency: 8 issues/year

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, published by WALTER DE GRUYTER GMBH, serves as a premier platform for advancing knowledge in the vibrant domains of applied mathematics, computational mechanics, and various fields of engineering and physics. With an ISSN of 1565-1339, this journal has been at the forefront of disseminating significant research findings since its inception in 2000. Its commitment to quality is reflected in its category quartiles for 2023, ranked Q2 in Computational Mechanics and Engineering (miscellaneous), and Q3 in multiple engineering disciplines. Although it currently operates under a subscription model, the journal remains dedicated to presenting groundbreaking studies that explore complex nonlinear phenomena and numerical methodologies. As an invaluable resource for researchers, professionals, and students alike, the journal aims to foster innovation and collaboration across related fields, enhancing both theory and application through its peer-reviewed articles.

JOURNAL OF EVOLUTION EQUATIONS

Elevating research in the dynamic world of mathematics.
Publisher: SPRINGER BASEL AGISSN: 1424-3199Frequency: 4 issues/year

Welcome to the JOURNAL OF EVOLUTION EQUATIONS, a leading academic journal published by SPRINGER BASEL AG, dedicated to the field of mathematics, with a specific emphasis on the analysis of evolution equations. Since its inception in 2001, this journal has become a central platform for researchers and professionals to disseminate innovative findings and theoretical advancements in the domain. With a commendable Q1 ranking in the category of Mathematics (miscellaneous) and a Scopus position of Rank #24/90, it reflects the esteemed quality and impact of the research it publishes. The journal aims to foster scholarly communication by covering all aspects of evolution equations, including their applications to various fields. While currently not available as an open-access publication, it offers access through various academic institutions, ensuring that high-quality research remains accessible to the scientific community. As it approaches its converged years of publication up to 2024, JOURNAL OF EVOLUTION EQUATIONS continues to be an invaluable resource for anyone seeking to expand their knowledge and understanding in this critical area of mathematical study.

Dynamics of Partial Differential Equations

Illuminating the Dynamics of Mathematical Theory
Publisher: INT PRESS BOSTON, INCISSN: 1548-159XFrequency: 4 issues/year

Dynamics of Partial Differential Equations is a prestigious peer-reviewed journal published by INT PRESS BOSTON, INC in the United States, specializing in the intricate and innovative field of partial differential equations (PDEs). With an ISSN of 1548-159X, this journal has become an invaluable resource for researchers, professionals, and students alike since its inception in 2007. The journal is recognized for its rigorous scholarship, as indicated by its 2023 category quartiles, achieving Q1 status in Analysis and Q2 in Applied Mathematics. The Scopus rankings further affirm its relevance, placing it within the top half of its field. While the journal operates under a subscription model, it remains a vital platform for disseminating cutting-edge research that addresses both theoretical and applied aspects of differential equations, contributing significantly to advancements in mathematics and related disciplines. It serves as a meeting ground for researchers dedicated to exploring the dynamic and evolving nature of PDEs, fostering collaboration and innovation within the academic community.

ASYMPTOTIC ANALYSIS

Innovating Mathematical Understanding with Asymptotic Analysis
Publisher: IOS PRESSISSN: 0921-7134Frequency: 12 issues/year

ASYMPTOTIC ANALYSIS, published by IOS PRESS, is a leading international journal dedicated to the field of mathematics, specifically focusing on asymptotic methods and their applications across various mathematical disciplines. Established in 1988, this journal has established a strong reputation, achieving a Q1 category in 2023 within the miscellaneous mathematics category, indicating its significant impact and recognition in the academic community with a Scopus rank of 120 out of 399. With a commitment to advancing theoretical knowledge and fostering mathematical innovation, ASYMPTOTIC ANALYSIS serves as an essential resource for researchers, professionals, and students alike, facilitating the dissemination of groundbreaking findings and methodologies. Although the journal does not currently offer open access, it continuously strives to maintain high editorial standards and broaden the accessibility of its content. With its focus on critical aspects of mathematics, ASYMPTOTIC ANALYSIS will surely remain at the forefront of scholarly exchange, influencing future research directions and educational practices in the mathematical sciences.

Analysis & PDE

Connecting Ideas, Inspiring Discoveries in Analysis & PDE.
Publisher: MATHEMATICAL SCIENCE PUBLISSN: 1948-206XFrequency: 3 issues/year

Analysis & PDE is a premier journal dedicated to advancing the fields of analysis and partial differential equations, published by Mathematical Science Publications. With its ISSN 1948-206X, this journal has established itself as a critical platform for the dissemination of high-quality research since its inception in 2008. An indicator of its scholarly impact, it holds a prestigious Q1 ranking in the 2023 categories of Analysis, Applied Mathematics, and Numerical Analysis. The journal's esteemed standing is further underscored by its impressive Scopus rankings, including Rank #24 in Mathematics Analysis, placing it in the 87th percentile of its category. Aimed at researchers, professionals, and advanced students, Analysis & PDE provides a vital forum for innovative studies that push the boundaries of mathematics while fostering a deeper understanding of analytical methods and their applications across various real-world challenges. With no open access restrictions, it remains an accessible resource for the global research community. For more information, please reach out to the editorial office at the Department of Mathematics, University of California, Berkeley.

Journal of Elliptic and Parabolic Equations

Championing Quality Research in Mathematical Analysis
Publisher: SPRINGER HEIDELBERGISSN: 2296-9020Frequency: 2 issues/year

Welcome to the Journal of Elliptic and Parabolic Equations, a prominent publication dedicated to advancing the field of mathematical analysis, particularly focusing on elliptic and parabolic PDEs. Published by Springer Heidelberg, this journal stands out with its commitment to quality research, as evidenced by its classification in the Q2 quartile for Analysis, Applied Mathematics, and Numerical Analysis fields in 2023. Spanning from 2015 to 2024, the journal not only showcases cutting-edge findings but also provides a platform for discussions on innovative methodologies and applications relevant to both theoretical and practical aspects of mathematics. Researchers, professionals, and students are encouraged to explore this journal for insightful articles that push the boundaries of knowledge in mathematical equations and their applications, enriching the academic community and fostering further exploration in the discipline.

Boundary Value Problems

Unlocking Innovations in Boundary Value Research
Publisher: SPRINGERISSN: 1687-2770Frequency: 1 issue/year

Boundary Value Problems, published by SPRINGER, is a pioneering open-access journal dedicated to the dissemination of high-quality research in the fields of mathematics, specifically focusing on algebra, number theory, and analysis. With an ISSN of 1687-2770 and an impressive impact factor reflecting its robust contribution to the academic community, particularly as it has achieved a Q3 ranking in both Algebra and Number Theory and Analysis categories in 2023, the journal serves as a vital platform for researchers, professionals, and students alike. Since its inception in 2005, Boundary Value Problems has been committed to fostering innovative breakthroughs and sharing knowledge that drives new perspectives and methodologies within the mathematical sciences. By facilitating open access to its articles, the journal ensures wide visibility and accessibility of cutting-edge research, making it an essential resource for anyone interested in boundary value problems and their multifaceted applications across various disciplines.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Advancing Knowledge, Bridging Disciplines
Publisher: PERGAMON-ELSEVIER SCIENCE LTDISSN: 1468-1218Frequency: 4 issues/year

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, published by PERGAMON-ELSEVIER SCIENCE LTD, is a premier academic journal dedicated to advancing the field of nonlinear analysis through rigorous research and practical applications. With an impressive impact factor and categorized in the Q1 quartile across multiple disciplines including applied mathematics, computational mathematics, and engineering, this journal stands as a vital resource for researchers, professionals, and students. Its extensive scope encompasses significant contributions from the domains of economics, medicine, and various engineering fields, making it a leading platform for interdisciplinary exchange. The journal's commitment to showcasing innovative methodologies and solutions from 2000 to 2025 not only enhances its academic prestige but also fosters real-world impact, thus catering to a diverse scholarly audience eager to explore the complexities and potentials of nonlinear phenomena. Access options vary, ensuring a wide dissemination of knowledge to drive future discoveries in this dynamic area of study.

Nonlinear Analysis-Modelling and Control

Pioneering research at the forefront of nonlinear analysis.
Publisher: VILNIUS UNIV, INST MATHEMATICS & INFORMATICSISSN: 1392-5113Frequency: 6 issues/year

Nonlinear Analysis-Modelling and Control is a leading open-access journal published by the Vilnius University, Institute of Mathematics and Informatics, nestled in the heart of Lithuania. Since its inception in 2009, the journal has been committed to advancing the field of nonlinear analysis through rigorous research and comprehensive modelling techniques. With an impressive Q2 category ranking in both Analysis and Applied Mathematics for 2023, it stands out with its strong academic influence reflected in its Scopus ranking, where it is positioned in the top 12% percentile for Mathematics - Analysis and the top 24% for Mathematics - Applied Mathematics. This journal not only serves as a platform for pioneering research but also emphasizes interdisciplinary collaboration in addressing complex mathematical and control problems. Its open-access policy since 2017 ensures that its findings are readily accessible to a global audience, fostering knowledge dissemination and innovation across the mathematical community. Researchers, professionals, and students will find Nonlinear Analysis-Modelling and Control an essential resource for the latest developments and applications in nonlinear systems.

Differential Equations & Applications

Fostering Collaboration in Differential Equation Studies
Publisher: ELEMENTISSN: 1847-120XFrequency: 4 issues/year

Differential Equations & Applications is a distinguished academic journal published by ELEMENT, focusing on the ongoing advancements in the field of differential equations and their applications across various scientific disciplines. With an ISSN of 1847-120X and an E-ISSN of 1848-9605, this journal serves as a vital platform for researchers, professionals, and students alike to present their findings and contribute to the expanding knowledge base within this critical area of mathematics. Although currently a subscription-based publication, it provides comprehensive access to high-quality peer-reviewed articles that rigorously explore both theoretical and practical aspects of differential equations. The journal aims to foster collaboration and dissemination of knowledge, enhancing the understanding of complex systems modeled by differential equations. As it continues to grow its impact in the scholarly community, Differential Equations & Applications stands as a valuable resource for anyone engaged in mathematical research and its applications in scientific endeavors worldwide.