Publications by the researcher in collaboration with Juan Luis Vázquez (29)

2024

  1. Singular solutions for space-time fractional equations in a bounded domain

    Nonlinear Differential Equations and Applications, Vol. 31, Núm. 4

2023

  1. Evolution driven by the infinity fractional Laplacian

    Calculus of Variations and Partial Differential Equations, Vol. 62, Núm. 4

  2. Singular boundary behaviour and large solutions for fractional elliptic equations

    Journal of the London Mathematical Society, Vol. 107, Núm. 2, pp. 568-615

2022

  1. A fast regularisation of a Newtonian vortex equation

    Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 39, Núm. 3, pp. 705-747

  2. Infinite-time concentration in aggregation–diffusion equations with a given potential

    Journal des Mathematiques Pures et Appliquees, Vol. 157, pp. 346-398

  3. Singular solutions for fractional parabolic boundary value problems

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 116, Núm. 4

  4. Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility

    Advances in Nonlinear Analysis, Vol. 11, Núm. 1, pp. 937-967

2021

  1. Blow-up phenomena in nonlocal eigenvalue problems: When theories of L1 and L2 meet

    Journal of Functional Analysis, Vol. 280, Núm. 7

  2. Characterisation of homogeneous fractional Sobolev spaces

    Calculus of Variations and Partial Differential Equations, Vol. 60, Núm. 2

  3. The one-phase fractional Stefan problem

    Mathematical Models and Methods in Applied Sciences, Vol. 31, Núm. 1, pp. 83-131

  4. Three representations of the fractional p-Laplacian: Semigroup, extension and Balakrishnan formulas

    Fractional Calculus and Applied Analysis, Vol. 24, Núm. 4, pp. 966-1002

2020

  1. Estimates on translations and Taylor expansions in fractional Sobolev spaces

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 200

  2. On the two-phase fractional stefan problem

    Advanced Nonlinear Studies, Vol. 20, Núm. 2, pp. 437-458

2019

  1. Existence of Weak Solutions for a General Porous Medium Equation with Nonlocal Pressure

    Archive for Rational Mechanics and Analysis, Vol. 233, Núm. 1, pp. 451-496

  2. The fractional Schrödinger equation with singular potential and measure data

    Discrete and Continuous Dynamical Systems- Series A, Vol. 39, Núm. 12, pp. 7113-7139

2018

  1. Porous medium equation with nonlocal pressure

    Springer Optimization and Its Applications (Springer International Publishing), pp. 277-308

  2. The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 177, pp. 325-360

2016

  1. Finite and infinite speed of propagation for porous medium equations with nonlocal pressure

    Journal of Differential Equations, Vol. 260, Núm. 2, pp. 1154-1199

2015

  1. Transformations of self-similar solutions for porous medium equations of fractional type

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 119, pp. 62-73

2014

  1. Finite and infinite speed of propagation for porous medium equations with fractional pressure

    Comptes Rendus Mathematique, Vol. 352, Núm. 2, pp. 123-128