Geometry Meets PDE: Analysis and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "B: Geometry and Topology".
Deadline for manuscript submissions: 15 July 2026 | Viewed by 60
Special Issue Editor
Special Issue Information
Dear Colleagues,
The interaction between geometry and partial differential equations has become one of the most vibrant areas of modern mathematical research. Many central problems in differential geometry, geometric analysis, and mathematical physics are naturally formulated as nonlinear PDEs, while geometric insight often inspires new analytical methods and breakthroughs. This Special Issue, Geometry Meets PDE: Analysis and Applications, aims to showcase recent developments at this rich interface.
Topics include but are not limited to geometric flows (such as Ricci and Yamabe flows), problems in conformal geometry (e.g., the Yamabe problem, the Q-curvature problem, and the prescribed Gaussian curvature problem) AND elliptic partial differential equations (linear, quasi-linear, fully nonlinear equations). Applications of PDE techniques to problems in Riemannian, complex, and conformal geometry are of great interest. Furthermore, we encourage submissions that present new analytical tools motivated by geometric problems, as well as applications of geometric PDEs in broader contexts such as general relativity and geometric topology.
By bringing together diverse perspectives, this Special Issue seeks to highlight common themes and stimulate further progress at the crossroads of geometry and analysis.
Prof. Dr. Shiguang Ma
Guest Editor
Manuscript Submission Information
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Keywords
- geometric analysis
- geometric flows
- curvature equations
- conformal geometry
- riemannian geometry
- complex geometry
- elliptic PDEs
- general relativity
- geometric topology
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