• 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 ...
    • ADVANCED COURSE IN PARTIAL DIFFERENTIAL EQUATIONS (Examen final, 2n quadrimestre) 

      Mas Blesa, Albert; Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2022-06-07)
      Examen
      Accés obert
    • Elliptic problems: regularity of stable solutions and a nonlocal Weierstrass extremal field theory 

      Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2023-07-04)
      Tesi
      Accés obert
      (English) This PhD dissertation deals with qualitative questions from the theory of elliptic Partial Differential Equations (PDE) and integro-differential equations. We are primarily interested in a distinguished class of ...
    • Geometric mechanics and Hamilton-Jacobi theory 

      Urtiaga Erneta, Iñigo (Universitat Politècnica de Catalunya, 2017-01)
      Treball Final de Grau
      Accés obert
      A review of analytical mechanics in the language of differential geometry is given. The classical formulations of Newton, Lagrange and Hamilton are discussed in detail, with special interest in the Hamilton-Jacobi equation. ...