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David Gómez-Castro
David Gómez-Castro
“Ramón y Cajal” Postdoctoral Research Fellow at Universidad Autónoma de Madrid
Verified email at uam.es - Homepage
Title
Cited by
Cited by
Year
Characterisation of homogeneous fractional Sobolev spaces
L Brasco, D Gómez-Castro, JL Vázquez
Calculus of Variations and Partial Differential Equations 60, 1-40, 2021
622021
Three representations of the fractional p-Laplacian: Semigroup, extension and Balakrishnan formulas
F Del Teso, D Gómez-Castro, JL Vázquez
Fractional Calculus and Applied Analysis 24 (4), 966-1002, 2021
372021
The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
JI Díaz, D Gómez-Castro, JL Vázquez
Nonlinear Analysis 177, 325-360, 2018
372018
Nonlinear reaction-diffusion processes for nanocomposites: anomalous improved homogenization
JI Díaz, D Gómez-Castro, TA Shaposhnikova
Walter de Gruyter GmbH & Co KG, 2021
322021
Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical size
J Ildefonso Diaz, D Gomez-Castro, TA Shaposhnikova, MN Zubova
Electronic Journal of Differential Equations 2017, 2017
30*2017
Singular boundary behaviour and large solutions for fractional elliptic equations
N Abatangelo, D Gómez‐Castro, JL Vázquez
Journal of the London Mathematical Society 107 (2), 568-615, 2023
252023
Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach
JI Díaz, D Gómez-Castro, JM Rakotoson, R Temam
Discrete & Continuous Dynamical Systems – A 38 (2), 2018
242018
Blow-up phenomena in nonlocal eigenvalue problems: when theories of L1 and L2 meet
H Chan, D Gómez-Castro, JL Vázquez
Journal of Functional Analysis 280 (7), 108845, 2021
222021
Estimates on translations and Taylor expansions in fractional Sobolev spaces
F del Teso, D Gómez-Castro, JL Vázquez
Nonlinear Analysis 200, 111995, 2020
222020
The fractional Schrödinger equation with singular potential and measure data
D Gómez-Castro, JL Vázquez
Discrete & Continuous Dynamical Systems – A 39 (12), 2018
202018
Homogenization of variational inequalities of Signorini type for the p-Laplacian in perforated domains when p ∈ (1, 2)
JI Díaz, D Gómez-Castro, AV Podolskiy, TA Shaposhnikova
Doklady Mathematics 95, 151-156, 2017
202017
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles
JI Diaz, D Gomez-Castro, TA Shaposhnikova, MN Zubova
Applicable Analysis 98 (1-2), 232-255, 2019
192019
A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
JI Díaz, D Gómez-Castro, TA Shaposhnikova, MN Zubova
Electron. J. Differential Equations 2019 (77), 2019
192019
Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nano-composite” membranes
JI Díaz, D Gómez-Castro, AV Podolskiy, TA Shaposhnikova
Advances in Nonlinear Analysis 9 (1), 193-227, 2020
172020
On the well-posedness of a multiscale mathematical model for Lithium-ion batteries
JI Díaz, D Gómez-Castro, AM Ramos
Advances in Nonlinear Analysis 8 (1), 1132-1157, 2018
172018
On the asymptotic limit of the effectiveness of reaction–diffusion equations in periodically structured media
JI Díaz, D Gómez-Castro, AV Podolskii, TA Shaposhnikova
Journal of Mathematical Analysis and Applications 455 (2), 1597-1613, 2017
172017
Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition
JI Díaz, D Gómez-Castro, AV Podol’skii, TA Shaposhnikova
Advances in Nonlinear Analysis 8 (1), 679-693, 2017
17*2017
Homogenization of the p-Laplacian with nonlinear boundary condition on critical size particles: Identifying the strange term for the some non smooth and …
JI Díaz, D Gómez-Castro, AV Podol’skii, TA Shaposhnikova
Doklady Mathematics 94, 387-392, 2016
162016
Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
J Ildefonso Diaz, D Gomez-Castro, JM Rakotoson
Differential Equations and Applications 10 (1), 2018
13*2018
Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel
JA Carrillo, D Gómez-Castro, Y Yao, C Zeng
Archive for Rational Mechanics and Analysis 247 (1), 11, 2023
112023
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