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: Ministerio de Ciencia, Innovación y Universidades PID2019-106122GB-I00. 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
-2019/20 Calculus I. Bachelor in Data Science Engineering.
-2019/20 Calculus II. Bachelor in Industrial Technology Engineering.
Publications in Scientific Journals (by date, last ten)
- Colorado, Eduardo; How to divide exactly in Mathematics. Preprint, DOI: 10.13140/RG.2.2.28345.39525
- Álvarez-Caudevilla, P.; Colorado, E.; Ortega, A. Existence of positive solutions for a Brezis-Nirenberg type problem involving an inverse operator. Preprint 2019, arXiv:1903.04345v1.
- Carmona, J.; Colorado, E.; Leonori, T.; Ortega, A. Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions. Fract. Calc. Appl. Anal., Vol. 23, No 4 (2020), pp. 1208–1239, DOI: 10.1515/fca-2020-0061.
- Carmona, J.; Colorado, E.; Leonori, T.; Ortega, A. Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data. Advances in Calculus of Variations, 2020, DOI: https://doi.org/10.1515/acv-2019-0029.
- 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). 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.
- MR3883627 Colorado, Eduardo. Ground states of some coupled nonlocal fractional dispersive PDEs. Proceedings of the international conference Two nonlinear days in Urbino 2017, 39-53, Electron. J. Differ. Equ. Conf., 25, Southwest Texas State Univ., San Marcos, TX, 2018. Conf. 25 (2018), pp. 39-53.
- MR3723115 Álvarez-Caudevilla, P.; Colorado, Eduardo; Fabelo, Rasiel. A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations. J. Math. Phys. 58 (2017), no. 11, 111503, 13 pp.
- MR3719290 Colorado, Eduardo. On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations. Adv. Nonlinear Anal. 6 (2017), no. 4, 407–426.