Geometric Capacity Theory

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 91

Special Issue Editors

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL A1C 5S7, Canada
Interests: geometric harmonic analysis; mathematical physics; partial differential equations
Prof. Dr. Tuo Wang
E-Mail Website
Guest Editor
School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, China
Interests: convex geometry; functional analysis
Dr. Ning Zhang
E-Mail Website
Guest Editor
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
Interests: geometric analysis; Riemannian geometry; convex geometry

Special Issue Information

Dear Colleagues,

Within mathematics and mathematical physics, geometric capacity theory (GCT) is devoted to an investigation of the geometric properties of subsets of either Euclidean spaces or Riemannian manifolds via the capacitance-potential theory. GCT permits mathematicians and physicists to extend methods and tools from not only geometric and harmonic analysis but also differential geometry and topology as well as partial differential equations to a quite larger family of the lower-dimensional hypersurfaces or submanifolds that are not necessarily smooth.

All interested researchers are welcome to submit their high-quality research or review papers within GCT to this Special Issue.

Prof. Dr. Jie Xiao
Prof. Dr. Tuo Wang
Dr. Ning Zhang
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

  • Hausdorff capacity
  • Hausdorff measure
  • functional capacity
  • variational capacity
  • potential-theoretic capacity
  • energy–flow–flux–mass
  • mean curvature
  • scalar curvature
  • Ricci curvature
  • evolutionary PDE
  • stationary PDE

Published Papers

This special issue is now open for submission.
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