Posición: Responsable Comisión Académica
2015–actualmente: Profesor Agregado 3, Universidad Yachay Tech, Ecuador
2013 - 2015: Pontifica Universidad Católica del Ecuador, Ecuador
2012 - 2013: Universidad Tecnológica Israel, Ecuador
2009-2012: Universidad de las Fuerzas Armadas – ESPE, Ecuador
2007-2008: Postdoctorado, Technion - Israel Institute of Technology, Israel
2006-2007: Postdoctorado, Universidad de Talca, Chile
2006: Doctorado (Ph.D.) en Universidad de Chile, Chile. Tesis bajo la dirección de Patricio Felmer
2001: Matemático, Escuela Politécnica Nacional, Ecuador
Publicaciones:
Mayorga-Zambrano, J. & Cumbal-López, H., Existence of positive solutions for a p-Schrödinger–Kirchhoff integro-differential equation with critical growth, Partial Differential Equations and Applications, Vol.5, 10 (2024)
Mayorga-Zambrano, J. & Villagómez-Chiluisa, A., Higuer-order Sobolev-like cones in bounded domains, Communications in Mathematical Physics, Submitted (2024)
Mayorga-Zambrano, J., Cumbal-López, H., Narváez-Vaca, D. & Cevallos-Chávez, J., Local ground-state and mountain pass solutions for a p-Kirchhoff-equation with critical exponent, Kragujevac Journal of Mathematics, Submitted (2024)
Mayorga-Zambrano, J., Calle-Cárdenas, C. & Castillo-Jaramillo, J., m-Biharmonic Kirchhoff-type equation with singularity and critical exponent, Bulletin of Computational Applied Mathematics, Submitted (2024)
Mayorga-Zambrano, J. & Narváez-Vaca, D., A non-trivial solution for a p-Schrödinger-Kirchhoff-type integro-differential system by non-smooth techniques, Annals of Functional Analysis, Vol.14, 77 (2023)
Mayorga-Zambrano, J., Murillo-Tobar, J., & Macancela-Bojorque, A., Multiplicity of solutions for a p-Schrödinger-Kirchhoff-type integro-differential equation, Annals of Functional Analysis, Vol.14, 33 (2023)
Medina-Vásquez, P., Romero-Romero, R. & Mayorga-Zambrano, J., A model for the SARS-CoV-2 dynamics in a population lacking herd immunity, Revista Bionatura, Vol.8, 1 (2023)
Mayorga-Zambrano, J., Medina-Espinosa, L. & Muñoz-Moncayo, C., Asymptotic concentration and profiles of infinitely many solutions for the Finite Case of a nonlinear Schrödinger equation with critical frequency, Differential Equations and Dynamical Systems, (2023)
Mayorga-Zambrano, J., Burbano-Gallegos, J., Pérez-Pilco, B. & Castillo-Jaramillo, J., Existence and asymptotics of solutions for a p-Laplace Schrödinger equation with critical frequency, Sahand Communications in Mathematical Analysis, Vol.20, 4 (2023)
Mayorga-Zambrano, J. & Tallana-Chimarro, D., Frail and strong solutions for a p-Laplace boundary problem with infintely many discontinuities, MATEMÁTICA, ESPOL - FCNM JOURNAL, Vol. 21, 2 (2023)
Mayorga-Zambrano, J., Aguas-Barreno, A., Cevallos-Chávez, J. & Medina-Espinosa, L., Semiclassical asymptotics of infinitely many solutions for the infinite case of a nonlinear Schrödinger equation with critical frequency, Bulletin of the Korean Mathematical Society, Vol. 59 (2022), No.1, pp-241-263
Mayorga-Zambrano, J., Castillo-Jaramillo, J., & Burbano-Gallegos, J., Compact embeddings of p-Sobolev-like cones of nuclear operators, Banach Journal of Mathematical Analysis, Vol. 16, 23 (2022)
Mayorga-Zambrano, J., La certidumbre de la incertidumbre en los fraudes piramidales Ponzi. MATEMÁTICA, ESPOL - FCNM JOURNAL, Vol. 20, 1 (2022)
Meirmanov, A., Mayorga-Zambrano, J. Galtsev, O. & O. Galtseva, Dynamics of Cracks in Rocks Chapter 3, Evolution Equations: Almost Periodicity and Beyond (In Memory of Professor V.V. Zhikov), Nova Publishers, 2018
Medina, P., Quituisaca-Samaniego, L., Antamba, L. & Mayorga-Zambrano, J., A probabilistic map to optimize human blood collection III Congreso Internacional “Estudios en Organizaciones Públicas, Privadas y Sociales en América Latina y el Caribe”, REOALCel, 2016
Mayorga-Zambrano, J & Salinas, Z., Sobolev-like cones on unbounded domains: Interpolation inequalities and compactness properties, Nonlinear Analysis: Theory, Methods & Applications, 93 pp 78-89, 2013
Quituisaca-Samaniego, L., Mayorga-Zambrano, J & Medina, P., Simulación Estocástica de Esquemas Piramidales Tipo Ponzi, Analı́tika, Revista de Análisis Estadı́stico, Vol. 6, Págs. 51-66, 2013
Mayorga-Zambrano, J., Un Modelo Matemático para Esquemas Piramidales Tipo Ponzi, Analı́tika, Revista de Análisis Estadı́stico, No. 1, Págs. 121-135, 2011
Mayorga-Zambrano, J. & Wolansky, G., The Fokker-Planck equations on the Torus: time discretization of the non-reversible case, ESPE Ciencia y Tecnologı́a, Vol. 3, No. 1, pp.67-80, 2011
Mayorga-Zambrano, J. & Garcı́a, J., Puntos crı́ticos sin derivar, ESPE Ciencia y Tecnologı́a, Vol. 3, No. 1, pp. 57-65, 2011
Mayorga-Zambrano, J., LiLMOD: Una herramienta matemática para incrementar la competitividad leal en instituciones educativas, ESPE Ciencia y Tecnologı́a, Vol. 2, No. 2, pp.37-49, 2009
Dolbeault, J., Felmer, P. and Mayorga-Zambrano, J., Compactness properties for Trace-class operators and applications to Quantum Mechanics, Monatshefte für Mathematik, 155, 43-66, 2008
Felmer, P. and Mayorga-Zambrano, J., Multiplicity and concentration for the nonlinear Schrödinger equation with critical frequency, Nonlinear Analysis, Vol 66/1 pp 151-169, 2007
Calahorrano-Recalde, M. and Mayorga-Zambrano, J., A discontinuous problem with quasilinear operator, Revista Colombiana de Matemática 35, no. 1, 111, 2001
Mayorga-Zambrano, J., Matemática Superior para Ciencias e Ingenierı́a, ISBN 978-2-9559834-3-0, Editorial AMARUN (Francia), 2020
Mayorga-Zambrano, J., Introducción a la Teorı́a de Operadores, Capı́tulo 9, Memorias de la I Escuela de Verano (Matemáticas - Fı́sica), Universidad Central del Ecuador, Págs. 295-318, 2015. ISBN 978-9942-945-08-2
Mayorga-Zambrano, J., Análisis de Fourier, Capı́tulo 6, Memorias de la I Semana de Ciencia (Matemática, Fı́sica - Quı́mica), Universidad Central del Ecuador, Págs. 83-192, 2012. ISBN 978-9942-945-02-0