Biography

Juan Mayorga Zambrano is an Ecuadorian mathematician who has worked and made research in several universities of international prestige like Technion Israel Institute of Technology (Israel), Universidad de Chile (Chile) and Université Paris IX Dauphine. He joined Yachay Tech in June 2015.

 

Summary of Interests

• Nonlinear analysis
• Elliptic partial differential equations
• Operators theory
• Mathematical modeling

Current Research projects

Quantum drift – diffusion by mass transference techniques

Selected Publications

• Multiplicity of solutions for a p-Schrödinger–Kirchhoff-type integro-differential equation. Mayorga-Zambrano, J., Murillo-Tobar, J. & Macancela-Bojorque, A. Annals of Functional Analysis, 2023, 14(2), 33
• Compact embeddings of p-Sobolev-like cones of nuclear operators. Mayorga-Zambrano, J., Castillo-Jaramillo, J. & Burbano-Gallegos, J. Banach Journal of Mathematical Analysis, 2022, 16(2), 23
• SEMICLASSICAL ASYMPTOTICS OF INFINITELY MANY SOLUTIONS FOR THE INFINITE CASE OF A NONLINEAR SCHRÖDINGER EQUATION WITH CRITICAL FREQUENCY. Aguas-Barreno, A., Cevallos-Chávez, J., Mayorga-Zambrano, J. & Medina-Espinosa, L. Bulletin of the Korean Mathematical Society, 2022, 59(1), pp. 241–263
• Sobolev-like cones of trace-class operators on unbounded domains: Interpolation inequalities and compactness properties
  Mayorga-Zambrano, J. & Salinas, Z. Nonlinear Analysis, Theory, Methods and Applications, 2013, 93, pp. 78–89
• Compactness properties for trace-class operators and applications to quantum mechanics. Dolbeault, J., Felmer, P. & Mayorga-Zambrano, J. Monatshefte fur Mathematik, 2008, 155(1), pp. 43–66
• Multiplicity and concentration for the nonlinear Schrödinger equation with critical frequency. Felmer, P. & Mayorga-Zambrano, J. Nonlinear Analysis, Theory, Methods and Applications, 2007, 66(1), pp. 151–169