Nonlocal Nonlinear Partial Differential Equations and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 20 December 2025 | Viewed by 5
Special Issue Editors
Interests: partial differential equations; fractional diffusion equations; Ambrosetti–Rabinowitz condition; quasilinear elliptic problem
Interests: partial differential equations
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Nonlinear differential equations play a crucial role in the modeling of complex phenomena in mathematical physics, biology, and engineering. Variational and topological methods have proven to be powerful tools for the analysis of such equations, offering advanced insights into the existence, multiplicity, and qualitative behavior of solutions.
This Special Issue aims to gather original research articles and high-quality review papers that enhance our understanding of nonlinear differential equations through variational and topological techniques. Particular attention will be paid to contributions that deal with nonlinear elliptic equations, fractional and nonlocal models, and problems involving mixed operators. Topics of particular interest include Choquard and Schrödinger equations, double-phase and multiphase operators, as well as other nonlinear models that arise in mathematical physics.
We welcome the submission of articles that explore the existence, multiplicity, and asymptotic behavior of solutions, and studies that present innovative approaches within the broad variational and topological framework. We also encourge the submision of papers that address non-standard growth conditions, critical exponent problems, anisotropic operators, and measure data problems.
This Special Issue seeks to provide a platform for the dissemination of both theoretical developments and applications, fostering an interdisciplinary dialogue among researchers specializing in analysis, partial differential equations, and applied mathematics.
Dr. E J. Hurtado
Prof. Dr. Olimpio Hiroshi Miyagaki
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- nonlocal operators
- variational methods
- topological methods
- double phase
- Choquard
- Schrödinger equations
- multiplicity of solutions
- critical point
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
