Follow
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
472021
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
382018
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
302021
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
292017
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
Nonlinear reaction-diffusion processes for nanocomposites: anomalous improved homogenization
JI Díaz, D Gómez-Castro, TA Shaposhnikova
Walter de Gruyter GmbH & Co KG, 2021
232021
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
202021
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
The fractional Schrödinger equation with singular potential and measure data
D Gómez-Castro, JL Vázquez
Discrete & Continuous Dynamical Systems – A 39 (12), 2018
192018
Estimates on translations and Taylor expansions in fractional Sobolev spaces
F del Teso, D Gómez-Castro, JL Vázquez
Nonlinear Analysis 200, 111995, 2020
182020
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
182019
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
162017
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
16*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
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
152020
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
152019
Existence and uniqueness of solutions of Schr\" odinger type stationary equations with very singular potentials without prescribing boundary conditions and some applications
JI Díaz, D Gómez-Castro, JM Rakotoson
Differential Equations & Applications 10 (1), 2018
132018
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
112018
The effectiveness factor of reaction-diffusion equations: homogenization and existence of optimal pellet shapes
JI Díaz, D Gómez-Castro, C Timofte
Journal of Elliptic and Parabolic Equations 2, 119-129, 2016
102016
The system can't perform the operation now. Try again later.
Articles 1–20