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 Issues, Collections and Topics in MDPI journals
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
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Keywords
- radial symmetry
- axial symmetry or symmetry with respect to some hyperplane
- compactness
- decay
- fractional Laplacian
- Laplacian
- p-Laplacian
- ground state solutions
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