Research Interests

Existence, uniqueness and qualitative properties of solutions for nonlinear problems arising in mathematical physics, biology or differential geometry. Of particular interest are the problems presenting a lack of compactness, for which new tools in topology or Morse theory are required in order to detect solutions. I am also very interested in isoperimetric inequalities and their applications to derive uniqueness for nonlinear problems.



Conferences organized

Special seminars organized at CIAMCS (Center for Interdisciplinary Applied Mathematics and Computational Sciences)