Publicacións en colaboración con investigadores/as de Pontificia Universidad Católica de Chile (21)

2009

  1. Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions

    Israel Journal of Mathematics, Vol. 170, Núm. 1, pp. 53-60

2008

  1. A nonlocal nonlinear diffusion equation with blowing up boundary conditions

    Journal of Mathematical Analysis and Applications, Vol. 337, Núm. 2, pp. 1284-1294

  2. How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems

    Archive for Rational Mechanics and Analysis, Vol. 187, Núm. 1, pp. 137-156

2007

  1. Boundary fluxes for nonlocal diffusion

    Journal of Differential Equations, Vol. 234, Núm. 2, pp. 360-390

  2. Neumann boundary conditions for a nonlocal nonlinear diffusion operator. Continuous and discrete models

    Proceedings of the American Mathematical Society, Vol. 135, Núm. 12, pp. 3837-3846

  3. The blow-up problem for a semilinear parabolic equation with a potential

    Journal of Mathematical Analysis and Applications, Vol. 335, Núm. 1, pp. 418-427

2005

  1. A nonlocal diffusion equation whose solutions develop a free boundary

    Annales Henri Poincare, Vol. 6, Núm. 2, pp. 269-281

  2. On the existence of extremals for the Sobolev trace embedding theorem with critical exponent

    Bulletin of the London Mathematical Society, Vol. 37, Núm. 1, pp. 119-125

2004

  1. Antimaximum principle for quasilinear problems

    Advances in Differential Equations, Vol. 9, Núm. 9-10, pp. 1185-1200

  2. Blow-up sets for linear diffusion equations in one dimension

    Zeitschrift fur Angewandte Mathematik und Physik, Vol. 55, Núm. 2, pp. 357-362

  3. Boundary blow-up solutions to elliptic systems of competitive type

    Journal of Differential Equations, Vol. 206, Núm. 1, pp. 156-181

  4. Dependence of the blow-up time with respect to parameters and numerical approximations for a parabolic problem

    Asymptotic Analysis, Vol. 37, Núm. 1, pp. 79-91

  5. On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 59, Núm. 6, pp. 813-848

  6. Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: Existence and symmetry

    Journal of Mathematical Analysis and Applications, Vol. 296, Núm. 2, pp. 634-649

  7. The behavior of the best Sobolev trace constant and extremals in thin domains

    Journal of Differential Equations, Vol. 198, Núm. 1, pp. 129-148

  8. The best constant for the Sobolev trace embedding from W 1,1(Ω) into L1(∂Ω)

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 59, Núm. 7, pp. 1125-1145

2003

  1. Adaptive numerical schemes for a parabolic problem with blow-up

    IMA Journal of Numerical Analysis, Vol. 23, Núm. 3, pp. 439-463

  2. Non-simultaneous blow-up in a nonlinear parabolic system

    Advanced Nonlinear Studies, Vol. 3, Núm. 3, pp. 397-418

  3. Uniform bounds for the best Sobolev trace constant

    Advanced Nonlinear Studies, Vol. 3, Núm. 2, pp. 181-192

  4. Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

    Electronic Journal of Differential Equations, Vol. 2003, pp. 1-14