• A Liouville type result for fractional Schrödinger operators in 1D 

      Felipe Navarro, Juan Carlos (Universitat Politècnica de Catalunya, 2017-01)
      Projecte Final de Màster Oficial
      Accés obert
      The aim of this master's thesis is to obtain an alternative and original proof of a Liouville type result for fractional Schrödinger operators in 1D without using a local extension problem, in the spirit of the recent work ...
    • A Weierstrass extremal field theory for the fractional Laplacian 

      Cabré Vilagut, Xavier; Urtiaga Erneta, Iñigo; Felipe Navarro, Juan Carlos (De Gruyter, 2023-10-27)
      Article
      Accés restringit per política de l'editorial
      In this paper, we extend, for the first time, part of the Weierstrass extremal field theory in the Calculus of Variations to a nonlocal framework. Our model case is the energy functional for the fractional Laplacian (the ...
    • EQUACIONS EN DERIVADES PARCIALS | EXTRAORDINARI 

      Cabré Vilagut, Xavier; Felipe Navarro, Juan Carlos; Mas, Albert (Universitat Politècnica de Catalunya, 2021-07-02)
      Examen
      Accés restringit a la comunitat UPC
    • EQUACIONS EN DERIVADES PARCIALS | FINAL 

      Cabré Vilagut, Xavier; Felipe Navarro, Juan Carlos; Mas, Albert (Universitat Politècnica de Catalunya, 2021-06-03)
      Examen
      Accés restringit a la comunitat UPC
    • Periodic solutions to PDEs with fractional diffusion 

      Felipe Navarro, Juan Carlos (Universitat Politècnica de Catalunya, 2016-01)
      Treball Final de Grau
      Accés obert
      The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable ...
    • Qualitative properties of solutions to integro-differential elliptic problems 

      Felipe Navarro, Juan Carlos (Universitat Politècnica de Catalunya, 2021-07-14)
      Tesi
      Accés obert
      The thesis is devoted to the analysis of elliptic PDEs and related problems. It is mainly focused on the study of qualitative and regularity properties of solutions to integro-differential equations. The study of such ...