DAVID
GÓMEZ CASTRO
Profesor ayudante doctor
Juan Luis
Vázquez
Publicaciones en las que colabora con Juan Luis Vázquez (12)
2024
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Singular solutions for space-time fractional equations in a bounded domain
Nonlinear Differential Equations and Applications, Vol. 31, Núm. 4
2023
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Singular boundary behaviour and large solutions for fractional elliptic equations
Journal of the London Mathematical Society, Vol. 107, Núm. 2, pp. 568-615
2022
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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
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Infinite-time concentration in aggregation–diffusion equations with a given potential
Journal des Mathematiques Pures et Appliquees, Vol. 157, pp. 346-398
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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
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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
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Blow-up phenomena in nonlocal eigenvalue problems: When theories of L1 and L2 meet
Journal of Functional Analysis, Vol. 280, Núm. 7
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Characterisation of homogeneous fractional Sobolev spaces
Calculus of Variations and Partial Differential Equations, Vol. 60, Núm. 2
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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
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Estimates on translations and Taylor expansions in fractional Sobolev spaces
Nonlinear Analysis, Theory, Methods and Applications, Vol. 200
2019
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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
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The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
Nonlinear Analysis, Theory, Methods and Applications, Vol. 177, pp. 325-360