Juan Carlos Fernández' Homepage

I am an Associate Professor at the Science Faculty of the National Autonomous University of Mexico (UNAM).

Research Interests:

  • Multiplicity of positive and sign-changing solutions to semilinear elliptic and parabolic equations with critical Sobolev exponent nonlinearities, for instance, Yamabe type problems, Bahri-Coron problem and Yamabe flow.

  • Multiplicity of positive and sign-changing solutions to polyharmonic elliptic equations, for example, Q-curvature problems.

  • Geometric reductions methods: use of harmonic morphisms, groups of symmetries and isoparametric functions to reduce the dimension of PDE’s.

  • Oscillation theory for second and higher even order generalized Emden-Fowler type ODE’s.



Departamento de Matemáticas,

Facultad de Ciencias, UNAM

Av. Universidad 3000, Circuito Exterior S/N, 04510 Coyoacán, Mexico City, MEXICO

E-mail: jcfmor@ciencias.unam.mx