Symmetry and Partial Differential Equations
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (16 January 2023) | Viewed by 1172
Special Issue Editors
Interests: partial differential equations
Special Issue Information
Dear Colleagues,
Questions around symmetry and partial differential equations are closely linked, and they have been the subject of intensive investigations over the past 50 years. Some of the general themes are radial symmetry, axial symmetry, and symmetry with respect to some hyperplane.
Specifically in elliptic partial differential equations, other related issues are the loss of compactness, regularity, and decay of solutions. Although the previous four decades witnessed significant development in this research area, there are still many outstanding open problems, modeled in local problems the same as in nonlocal problems, for instance, involving fractional Laplacian.
The present Special Issue calls for new contributions to these important and interesting topics of research, and we sincerely hope that you will participate.
Prof. Dr. Olimpio Hiroshi Miyagaki
Prof. Dr. Lizhi Ruan
Guest Editors
Manuscript Submission Information
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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. Symmetry 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
- radial symmetry
- axial symmetry or symmetry with respect to some hyperplane
- compactness
- decay
- fractional Laplacian
- Laplacian
- p-Laplacian
- ground state solutions
