Advanced search
Start date

Variational and topological methods for partial differential equation

Grant number: 13/21563-3
Support Opportunities:Regular Research Grants
Duration: December 01, 2013 - November 30, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Gaetano Siciliano
Grantee:Gaetano Siciliano
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil


Our research project is based on some problems which are described in terms of partial differential equations; many problems in physics or geometry can be described by differential equations.Some examples of the equations we want to study, are related with the Schroedinger equation and Klein-Gordon (possibly coupled with the Maxwell equations), or some problems involving non-local differential equations or related with some fields of differential geometry (e.g, harmonic maps, constant mean curvature surfaces, geodesics).These are classical themes and very studied in these last years, although they need to be better investigated.In particular we are interested in critical point theory to find solutions of variational partial differential equations. Moreover these equations could be quasilinear, and also a nonlocal term can be present.The aim s to study existence, multiplicity of solutions, as well as solutions of ground states, their symmetries or bifurcation phenomena associated. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
Articles published in other media outlets (0 total):
More itemsLess items

Please report errors in scientific publications list by writing to: