publications
Books (1)
Preprints (2)
Journal Articles (34)

J34Asymptotic simplification of AggregationDiffusion equations towards the heat kernelArchive for Rational Mechanics and Analysis Accepted for publication , 2023

J32Singular solutions for fractional parabolic boundary value problemsRevista de la Real Academia de Ciencias Exactas, Fı́sicas y Naturales. Serie A. Matemáticas 116 (4), 2022

J31A fast regularisation of a Newtonian vortex equationAnnales de l’Institut Henri Poincaré C, Analyse non linéaire , 2022

J30Vortex formation for a nonlocal interaction model with Newtonian repulsion and superlinear mobilityAdvances in Nonlinear Analysis 11 (1), 2022

J29Infinitetime concentration in aggregation–diffusion equations with a given potentialJournal de Mathématiques Pures et Appliquées 157 , 2022

J28Three representations of the fractional pLaplacian: Semigroup, extension and Balakrishnan formulasFract. Calc. Appl. Anal. 24 (4), 2021

J27Characterisation of homogeneous fractional Sobolev spacesCalculus of Variations and Partial Differential Equations 60 (2), 2021

J26Steiner symmetrization for anisotropic quasilinear equations via partial discretizationAnnales de l’Institut Henri Poincaré C, Analyse non linéaire 38 (2), 2021

J25Blowup phenomena in nonlocal eigenvalue problems: When theories of L^1 and L^2 meetJournal of Functional Analysis 280 (7), 2021

J24Estimates on translations and Taylor expansions in fractional Sobolev spacesNonlinear Anal. 200 , 2020

J23A TimeDependent Strange Term Arising in Homogenization of an Elliptic Problem with Rapidly Alternating Neumann and Dynamic Boundary Conditions Specified at the Domain Boundary: The Critical CaseDokl. Math. 101 (2), 2020

J22Homogenization of a net of periodic critically scaled boundary obstacles related to reverse osmosis “nanocomposite” membranesAdv. Nonlinear Anal. 9 (1), 2020

J21The fractional Schrödinger equation with singular potential and measure dataDiscret. Contin. Dyn. Syst.  A 39 (12), 2019

J20A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary conditionElectron. J. Differ. Equ. 2019 (77), 2019

J18Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary conditionAdv. Nonlinear Anal. 8 (1), 2019

J17Classification of homogenized limits of diffusion problems with spatially dependent reaction over criticalsize particlesAppl. Anal. 98 (12), 2019

J19On the wellposedness of a multiscale mathematical model for Lithiumion batteriesAdv. Nonlinear Anal. 8 (1), 2018

J16The fractional Schrödinger equation with general nonnegative potentials. The weighted space approachNonlinear Anal. 177 , 2018

J15Homogenization of Boundary Value Problems in Plane Domains with Frequently Alternating Type of Nonlinear Boundary Conditions: Critical CaseDokl. Math. 97 (3), 2018

J14Study of tumor growth indicates the existence of an “immunological threshold” separating states of pro and antitumoral peritumoral inflammationPLoS One 13 (11), 2018

J13Non existence of critical scales in the homogenization of the problem with pLaplace diffusion and nonlinear reaction in the boundary of periodically distributed particles in ndimensional domains when p>nRev. la Real Acad. Ciencias Exactas, Físicas y Nat. Ser. A. Matemáticas 112 (2), 2018

J12Existence and uniqueness of solutions of Schrödinger type stationary equations with very singular potentials without prescribing boundary conditions and some applicationsDiffer. Equations Appl. 10 (1), 2018

J11Linear diffusion with singular absorption potential and/or unbounded convective flow: The weighted space approachDiscrete and Continuous Dynamical Systems 38 (2), 2018

J10Change of homogenized absorption term in diffusion processes with reaction on the boundary of periodically distributed asymmetric particles of critical sizeElectronic Journal of Differential Equations 2017 (178), 2017

J09On the asymptotic limit of the effectiveness of reaction–diffusion equations in periodically structured mediaJournal of Mathematical Analysis and Applications 455 (2), 2017

J08Homogenization of variational inequalities of Signorini type for the pLaplacian in perforated domains when p ∈(1, 2)Doklady Mathematics 95 (2), 2017

J07Visibility to discern local from nonlocal dynamic processesPhysica A: Statistical Mechanics and its Applications 471 , 2017

J06Shape differentiation of a steadystate reactiondiffusion problem arising in Chemical Engineering: the case of nonsmooth kinetic with dead coreElectronic Journal of Differential Equations 2017 (221), 2017

J05Rigidity of optimal bases for signal spacesComptes Rendus Mathematique 355 (7), 2017

J04Homogenization of the pLaplace operator with nonlinear boundary condition on critical size particles: identifying the strange terms for some non smooth and multivalued operatorsDoklady Mathematics 94 (1), 2016

J03On the Effectiveness of Wastewater Cylindrical Reactors: an Analysis Through Steiner SymmetrizationPure and Applied Geophysics 173 (3), 2016

J02The Effectiveness Factor of ReactionDiffusion Equations: Homogenization and Existence of Optimal Pellet ShapesJournal of Elliptic and Parabolic Equations 2 (12), 2016

J01An Application of Shape Differentiation to the Effectiveness of a Steady State ReactionDiffusion Problem Arising in Chemical EngineeringElectronic Journal of Differential Equations 22 , 2015
Conference Proceedings

C01A mathematical proof in nanocatalysis: better homogenized results in the diffusion of a chemical reactant through critically small reactive particlesIn Progress in Industrial Mathematics at ECMI 2016 2017

C03On the influence of pellet shape on the effectiveness factor of homogenized chemical reactionsIn Proceedings Of The XXIV Congress On Differential Equations And Applications XIV Congress On Applied Mathematics 2015

C02Steiner symmetrization for concave semilinear elliptic and parabolic equations and the obstacle problemIn Dynamical Systems and Differential Equations, Proceedings of the 10th AIMS International Conference (Madrid, Spain) 2015
Thesis

1. GómezCastro D (2017) Homogenization and Shape Differentiation of Quasilinear Elliptic Equations.