**Filippo Gazzola
**

__Mathematical models for suspension bridges:__** fourth order PDE models, fourth order ODE models,
Hamiltonian systems, design for stiffening trusses.**

__Critical point theory:__** semilinear and quasilinear elliptic equations at critical
growth, quasilinear elliptic problems via nonsmooth
critical point theory, periodic motions in Hamiltonian systems consisting in
lattices of particles, N-body problem.
Higher order partial differential equations: elliptic equations at
critical growth, Steklov boundary conditions.
Ground states for quasilinear elliptic problems:
existence results and asymptotic behavior for the
p-Laplacian, existence results for the prescribed mean curvature operator.
Calculus of variations: shape optimization,
approximation of the infima of (nonconvex) scalar functionals
and of the minimizing functions, symmetry problems.
Sobolev, Hardy, Rellich inequalities:
inequalities with remainder terms.
Navier-Stokes equations: modified NS equations, NS
equations with a pressure-dependent viscosity.
Characteristic hyperbolic problems:
inflow-outflow problems for Euler equations of compressible fluids.
Dynamical systems: attractors in weak
topologies of Banach spaces.**

**AIZHAI SUSPENSION BRIDGE
(China, 2012)**