Carlos Román Postdoctoral researcher in mathematics

Research interests: My research interests lie primarily in the calculus of variations and nonlinear partial differential equations. I have focused on the Ginzburg-Landau model of superconductivity, mathematical biology, and conformal geometry. The common point in my diverse research interests is about the analysis of singularities in elliptic equations.
Email:


Publications in Refereed Journals

  1. On the first critical field in the three dimensional Ginzburg-Landau model of superconductivity, Accepted for publication in Comm. Math. Phys.
  2. [pdf file]
  3. Three dimensional vortex approximation construction and ε-level estimates for the Ginzburg-Landau functional, Accepted for publication in Arch. Ration. Mech. Anal.
  4. [pdf file, journal version]
  5. (with A. Pistoia) Large conformal metrics with prescribed scalar curvature, J. Differential Equations 263 (2017), no. 9, 5902−5938.
  6. [pdf file, journal version]
  7. (with M. del Pino, M. Musso, and J. Wei) Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3, Accepted for publication in J. Anal. Math.
  8. [pdf file]
  9. (with M. del Pino) Large conformal metrics with prescribed sign-changing Gauss curvature, Calc. Var. Partial Differential Equations 54 (2015), no. 1, 763−789.
  10. [pdf file, journal version]

Preprints

  1. (with D. Bonheure and J.-B. Casteras) Unbounded mass radial solutions for the Keller-Segel equation in the disk.
  2. [pdf file]
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