Eduardo Colorado
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Profesor Titular de Universidad
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MathSciNet MR Author ID: 713468 |
Short CV
Education:
Professional experience (Teaching/Research):
Research Project as Principal Investigator
-Title of the project: Ecuaciones en derivadas parciales y sistemas de EDPs acopladas: Análisis y aplicaciones.
Financed by: Agencia Estatal de Investigación PID2019-106122GB-I00/AEI/10.3039/501100011033. 2020-2023.
-Title of the project: Nonlinear partial differential equations and coupled systems of PDEs of second and higher order.
Financed by: Ministerio de Economía y Competitividad and FEDER (MTM2016-80618-P). 2017-2019.
-Title of the project: Systems of Non-Linear Partial Differential Equations. Local and Non-Local Problems.
Financed by: Ministerio de Economía y Competitividad and FEDER (MTM2013-44123-P). 2014-2016.
-Title of the project: Nonlocal Problems: Convolution and Fractional Operators.
Financed by: Comunidad de Madrid and UC3M (CCG10-UC3M/ESP-4609). 2011-2012.
Ph.D. Advisor
-Urko Sánchez. On some nonlocal elliptic problems, Oct. 2014. Advisors: E. Colorado, A. de Pablo.
-Alejandro Ortega. On some elliptic problems involving powers of the Laplace operator. Mar. 2019.
Advisors: P. Álvarez, E. Colorado.
Teaching
-2021/22 Calculus II. Bachelor in Mechanical Engineering.
-2021/22 Calculus II. Bachelor in Industrial Electronics and Automation Engineering.
Publications in Scientific Journals (by date, last ten)
- Colorado, Eduardo; Ortega, Alejandro. Nonlinear Fractional Schr\"odinger Equations coupled by power-type nonlinearities. Preprint 20121, arXiv:2111.05227.
- Colorado, Eduardo; López-Soriano, Rafael; Ortega, Alejandro; Bound and ground states of coupled "NLS-KdV" equations with Hardy potential and critical power, Preprint 2021, arXiv:2107.13899.
- Colorado, Eduardo; López-Soriano, Rafael; Ortega, Alejandro; Existence of bound and ground states for an elliptic system with double criticality, Preprint 2021, arXiv:2107.03737.
- Colorado, Eduardo; How to divide exactly in Mathematics. Preprint, DOI: 10.13140/RG.2.2.28345.39525
-MR4273455 Álvarez-Caudevilla, P.; Colorado, E.; Ortega, A. Existence of positive solutions for Brezis-Nirenberg type problems involving an inverse operator. Electron. J. Differential Equations 2021, Paper No. 52, 24 pp.
- MR4151104 Carmona, J.; Colorado, E.; Leonori, T.; Ortega, A. Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions. Fract. Calc. Appl. Anal. 23 (2020), no. 4, 1208-1239.
- MR4319042 Carmona, J.; Colorado, E.; Leonori, T.; Ortega, A. Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data. Adv. Calc. Var. 14 (2021), no. 4, 521–539.
- MR3979602 Álvarez-Caudevilla, P.; Colorado, E.; Ortega, A. Positive solutions for semilinear fractional elliptic problems involving an inverse fractional operator. Nonlinear Anal. Real World Appl. 51 (2020), 102960, 21 pp..https://doi.org/10.1016/j.nonrwa.2019.06.010
- MR3915606 Bartolo, R.; Colorado, E.; Molica Bisci, G. Perturbed Problems Involving the Square Root of the Laplacian. Minimax Theory and its Applications 04 (2019), no. 1, 033-054.
- MR3912863 Colorado, Eduardo; Ortega, Alejandro. The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions. J. Math. Anal. Appl. 473 (2019), no. 2, 1002-1025.