Institutos Universitarios

Juan Carlos Felipe Navarro

Profesor Ayudante Doctor (Assistant Professor)

Department of Applied Mathematics and Mathematical Analysis

Complutense University of Madrid

 

 

 

Bio

I'm an Assistant Professor at Departamento de Análisis Matemático y Matemática Aplicada in Universidad Complutense de Madrid  since 2023. 
I obtained both a Bachelor’s degree in  Mathematics and Aerospace Engineering from Centre de Formació Interdisciplinària Superior (CFIS) at Universitat Politècnica de Catalunya (UPC) in 2016. During this stage, I focused my interests on Partial Differential Equations (PDE) and I started working on this topic in my Bachelor's Thesis. One year later, I obtained my Master’s degree in Advanced Mathematics and Mathematical Engineering at UPC, and I continued working on PDEs in my Master's Thesis. In May 2017, I became a PhD student at BGSMath-UPC under the supervision of Prof. Xavier Cabré supported by an FPI grant. My dissertation, titled Qualitative properties of solutions to integro-differential elliptic problems, was defended in July 2021. Between September 2021 and January 2023 I was a postdoctoral researcher at University of Helsinki (Finland).
 

Research interests

Nonlinear elliptic PDEs, Integro-differential equations, Variational problems, Minimal surfaces, Homogenization Theory.

 

Latest Publications

  • X. Cabré, I. U. Erneta and J. C. Felipe-Navarro. A Weierstrass extremal field theory for the fractional Laplacian. Advances in Calculus of Variations, 2023. https://doi.org/10.1515/acv-2022-0099
  • A. Audrito, J.C. Felipe-Navarro and X. Ros-Oton, The Neumann problem for the fractional Laplacian: regularity up to the boundary. To appear in Annali di Scienze Scoula Normale Superiore. https://doi.org/10.2422/2036-2145.202105_096
  • J.C. Felipe-Navarro, Uniqueness for linear integro-differential equations in the real line and applications. Calculus of Variations and Partial Differential Equations. 2021, 60, 220. https://doi.org/10.1007/s00526-021-02084-5
  • J.C. Felipe-Navarro and T. Sanz-Perela, Semilinear integro-differential equations I: odd solutions with respect to the Simons cone. Journal of Functional Analysis. 2020, 278. https://doi.org/10.1016/j.jfa.2019.108309