 Functional analysis
- Fixed points
- decomposable sets;
- topological degree;
- Sobolev spaces
 Calculus of variations:
- One diemensional problems with non standard methods;
- Scalar multidimensional problems: Lipschitz and Holder regularity. Barriers
- Comparison variational principles;
- Lavrentiev phenomenon;
- Non autonomous scalar problems: regularity with slow grpwth conditions, necessary conditions.