Boundary Value Problems is calling for submissions to our Collection on recent advances in the study of nonlinear elliptic partial differential equations (PDEs), emphasizing theoretical developments, analytical techniques, and their applications.
Edited by: Vincenzo Ambrosio, Polytechnic University of Marche, Italy; Abdolrahman Razani, Imam Khomeini International University, Iran ;Giovany Figueiredo, Universidade de Brasilia, Brazil
Submission Status: Open
This topical collection is focused on recent advances in the study of nonlinear elliptic partial differential equations (PDEs), emphasizing theoretical developments, analytical techniques, and their applications. Elliptic PDEs play a fundamental role in modeling various phenomena in mathematics, physics, engineering, and the natural sciences. The collection aims to highlight cutting-edge research on the existence, regularity, and qualitative behavior of solutions to nonlinear elliptic problems. It also explores their connections to other areas of mathematics.
Topics of interest include, but are not limited to:
- Existence and multiplicity of solutions to nonlinear elliptic equations.
- Regularity theory and a priori estimates for elliptic PDEs.
- Critical exponents, blow-up phenomena, and singular solutions.
- Variational methods and their applications to elliptic problems.
- Elliptic equations on non-standard geometries, including the Heisenberg group and other sub-Riemannian structures.
- Fractional elliptic equations and non-local operators.
- Applications of elliptic PDEs in physics, biology, and engineering.
This collection aims to offer a comprehensive overview of the state-of-the-art in nonlinear elliptic PDEs, fostering interdisciplinary dialogue and addressing open problems in the field. Contributions that explore both theoretical and applied aspects are encouraged, with an emphasis on innovative methodologies and emerging trends.
Keywords: elliptic, partial differential equations, regularity theory, blow-up phenomena, critical exponents, variational methods, singular solutions
There are currently no articles in this collection.
This Collection welcomes submission of Research articles and Reviews. Should you wish to submit a different article type, please read our submission guidelines to confirm that type is accepted by the journal.
Articles for this Collection should be submitted via our submission system, SNAPP. Please select the appropriate Collection title “Local and NonLocal Boundary value Problems" from the dropdown menu.
Articles will undergo the journal’s standard peer-review process and are subject to all the journal’s standard policies. Articles will be added to the Collection as they are published.
The Editors have no competing interests with the submissions which they handle through the peer-review process. The peer-review of any submissions for which the Editors have competing interests is handled by another Editorial Board Member who has no competing interests.