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- 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. Preprint 2019, arXiv:1902.08925v1.

- 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:

- 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).

 - 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.

- MR3641638 Abdellaoui, Boumediene; Aguilar, Juan Antonio; Barrios, Begoña; Colorado, Eduardo; Charro, Fernando; García Azorero, Jesús; Medina, Maria; Merchán, Susana; Montoro, Luigi; Primo, Ana; Ireneo Peral: Forty Years as Mentor.Adv. Nonlinear Stud. 17 (2017), no. 2, 217–243.

 (Completed list)

- MR3390088 Barrios, B.; Colorado, E.; Servadei, R.; Soria, F. A critical fractional equation with concave-convex power nonlinearities. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 4, 875–900

- MR3348984 Colorado, Eduardo. Existence of Bound and Ground States for a System of Coupled Nonlinear Schrödinger-KdV Equations. C. R. Math. Acad. Sci. Paris 353 (2015), no. 6, 511–516.

- MR3316625 Álvarez-Caudevilla, P.; Colorado, E.; Galaktionov, V.A. Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations.Nonlinear Anal. Real World Appl. 23 (2015), 78–93.

MR3259736 Colorado, Eduardo. Positive solutions to some systems of coupled nonlinear Schrödinger equations. Nonlinear Anal. 110 (2014), 104–112.

 - MR3259761 Colorado, E.; de Pablo, A.; Sánchez, U. Perturbations of a critical fractional equation.Pacific J. Math. 271 (2014), no. 1, 65–85.

- MR3155969 Colorado, Eduardo. Existence results for some systems of coupled fractional nonlinear Schrödinger equations. Recent trends in nonlinear partial differential equations. II. Stationary problems, 135–150, Contemp. Math., 595, Amer. Math. Soc., Providence, RI, 2013.

- MR3023003 Brändle, C.; Colorado, Pablo, A.; Sánchez, U. A concave-convex elliptic problem involving the fractional LaplacianProc. Roy. Soc. Edinburgh Sect. A 143 (2013), no. 1, 39–71.

- MR3071108 Colorado, E.D. Pestana; J. M. RodríguezE. Romera. Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials. J. Math. Anal. Appl. 407 (2013), no. 2, 369-386.

- MR2911424 Barrios, B.Colorado, Pablo, A.Sánchez, U. On some Critical Problems for the Fractional Laplacian Operator, J. Differential Equations 252 (2012), no. 11, 6133-6162.

- MR3012856 Arcoya, David; Colorado, Eduardo; Leonori, Tommaso. Asymptotically linear problems and antimaximum principle for  the square root of the laplacian. Adv. Nonlinear Stud. 12 (2012), no. 4, 683-702. 

- MR2754808 Colorado, E. García-Melián, J. The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter, J. Math. Anal. Appl. 377 (2011), no. 1, 53-69.

- MR2517768 Charro, Fernando; Colorado, Eduardo; Peral, Ireneo. Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side. J. Differential Equations 246 (2009), no. 11, 4221-4248.

- MR2333097 Ambrosetti, A.; Colorado, E.Ruiz, D. Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations. Calc. Var. Partial Differential Equations 30 (2007), no. 1, 85-112.

- MR2302730 Ambrosetti, Antonio; Colorado, Eduardo. Standing waves of some coupled nonlinear Schrödinger equations. J. Lond. Math. Soc. (2) 75 (2007), no. 1, 67-82.

- MR2214594 Ambrosetti, AntonioColorado, Eduardo. Bound and ground states of coupled nonlinear Schrödinger equations. C. R. Math. Acad. Sci. Paris 342 (2006), no. 7, 453-458.

- MR2324328 Abdellaoui, B.; Colorado, E.Peral, I. Some critical quasilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions: relation with Sobolev and Hardy-Sobolev optimal constants. J. Math. Anal. Appl. 332 (2007), no. 2, 1165-1188.

- MR2265555 Abdellaoui, Boumediene; Colorado, Eduardo; Sanchón, Manel. Regularity of entropy solutions of quasilinear elliptic problems related to Hardy-Sobolev inequalities. Adv. Nonlinear Stud. 6 (2006), no. 4, 547-562.

- MR2238024 Abdellaoui, B.; Colorado, E.Peral, I. Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems. Adv. Differential Equations 11 (2006), no. 6, 667-720.

- MR2190775 Abdellaoui, B.; Colorado, E.Peral, I. Existence and nonexistence results for a class of parabolic equations with mixed boundary conditions. Commun. Pure Appl. Anal. 5 (2006), no. 1, 29-54.

- MR2142067 Abdellaoui, B.; Colorado, E.Peral, I. Some improved Caffarelli-Kohn-Nirenberg inequalities. Calc. Var. Partial Differential Equations 23 (2005), no. 3, 327-345.

- MR2185087 Colorado, E.Peral, I. Some results for elliptic eigenvalue problems with moving mixed boundary conditions. EQUADIFF 2003, 540–545, World Sci. Publ., Hackensack, NJ, 2005.

- MR2100910 Abdellaoui, Boumediene; Colorado, Eduardo; Peral, Ireneo. Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Adv. Nonlinear Stud. 4 (2004), no. 4, 503-533.

- MR2078192 Colorado, Eduardo; Peral, Ireneo. Eigenvalues and bifurcation for elliptic equations with mixed Dirichlet-Neumann boundary conditions related to Caffarelli-Kohn-Nirenberg inequalities. Topol. Methods Nonlinear Anal. 23 (2004), no. 2, 239-273.

- MR2041008 Abdellaoui, B.; Colorado, E.Peral, I. Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities. J. Eur. Math. Soc. (JEMS) 6 (2004), no. 1, 119-148.
- MR1971262 Colorado, E.Peral, I. Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions. J. Funct. Anal. 199 (2003), no. 2, 468-507.
Other publications (Abstracts/Books)

- Ambrosetti, A.Colorado, E. Standing Waves for Some Systems of Coupled Nonlinear Schrödinger Equations. Abstracts CEDYA 2007, 8 pages.

- Ambrosetti, A.Colorado, E. Standing waves of some coupled nonlinear Schrödinger equations. Abstracts International Congress of Mathematicians, ICM 2006, 394-395.

- Colorado, Eduardo. Ecuaciones elípticas y parabólicas con datos mixtos de tipo Dirichlet-Neumann. Editorial UAM Ediciones (2004), ISBN: 84-7477-948-0, 247 pages.

- Colorado, Eduardo. Memoria Docente. Ecuaciones Diferenciales en Derivadas Parciales. Editorial Bubok Publishing S.L. (2015), ISBN: 978-84-686-6787-4, 220 pages.


Short CV


Bachelor of Mathematical Sciences, Autonomous University of Madrid (AUM/UAM), Spain,  Oct. 92-Jun. 97.

Degree Thesis in Mathematics, UAM, May 99.

Ph. D. Doctor in Mathematics, UAM, July 04.

Extraordinary Doctorate Prize in Mathematics, UAM, April 07.

National Acreditation (ANECA) Doctor Assistant Professor, December 04.

National Habilitation of Associate Professor in Applied Mathematics, May 07.

Professional experience (Teaching/Research):

Grantholder of third cycle in UAM, Oct. 97-Dec. 98.

Predoctoral  Grantholder  (FPI) in UAM, January 99-Oct. 02.

Assistant Professor in UAM, Oct. 02-Jun. 05.

Postdoctoral Grantholder in the International School for Advanced Studies (ISAS/SISSA) of Trieste (Italy), Jul. 05-Jan. 06.

“Juan de la Cierva” Researcher at the University of Granada (UGR), Spain, Feb. 06-Dec. 07.

Visitant Researcher at ISAS/SISSA, March 06.

“Ramón y Cajal” Researcher at University Carlos III of Madrid (UC3M), Spain, Jan. 08-Nov. 08.

I won a Tenured Associate/Reader position at Polytechnique University of Madrid (UPM), Spain, July 08.

I won another Tenured Associate/Reader position at UC3M, Spain, where I am working since November 08.

Editorial Responsabilities: Editor ISRN Mathematical Analysis, since November 2012.

Visitant Researcher at Goethe Univ. of Frankfurt (Germany) May to August 2013.

Faculty Member of Instituto de Ciencias Matemáticas, ICMAT (CSIC-UAM-UC3M-UPM), since October 2013.

Organizer-Scientific Comitee: Workshop on Nonlinear Equations, Nonlinear.Madri2013.

Excellence Research Prize by UC3M-Banco Santander, April 2014.


Breve CV


Licenciado (Ldo.) en CC. Matemáticas por la Universidad Autónoma de Madrid (UAM), Oct. 92-Jun. 97.

Grado de Ldo. (Tesis de Licenciatura) UAM, Mayo 99.

Doctor en CC. Matemáticas por la UAM, Julio 04.

Premio Extraordinario de Doctorado en CC. Matemáticas por la UAM, Abril 07.

Acreditación Nacional (ANECA) de Ayudante Doctor, Diciembre 04.

Habilitación Nacional de Profesor Titular de Universidad (Área Matemática Aplicada), Mayo 07.

Puestos Docentes/Investigadores (Inv.):

Becario del Tercer Ciclo en la UAM, Oct. 97-Dic. 98.

Becario Predoctoral FPI en la UAM, Ene. 99-Oct. 02.

Prof. Ayudante en la UAM, Oct. 02-Jun. 05.

Becario Postdoctoral MEC en la International School for Advanced Studies (ISAS/SISSA) de Trieste (Italia), Jul. 05-Ene. 06.

Inv. Juan de la Cierva  en la Universidad de Granada (UGR), Feb. 06-Dic. 07.

Inv. visitante en la ISAS/SISSA, Marzo 06.

Inv. Ramón y Cajal en la UC3M, Ene. 08-Nov. 08.

Obtención de una plaza de Prof. Titular de Univ. en la Universidad Politécnica de Madrid (UPM), Julio 08.

Obtención de otra plaza de Prof. Titular de Univ. en la UC3M, que ocupo desde Noviembre 08.

Comité editorial: Editor ISRN Mathematical Analysis, desde Noviembre 2012.

Inv. visitante en la Univ. de Goethe de Frankfurt (Alemania), May.-Ago. 2013.

Inv. Permanente del Instituto de Ciencias Matemáticas, ICMAT (CSIC-UAM-UC3M-UPM), desde Octubre 2013.

Organizador-Comité científico: Workshop on Nonlinear Equations, Nonlinear.Madri2013.

Premio de Excelencia Investigadora, por la UC3M-Banco Santander, Abril 2014.

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