The gradient method for non-differentiable operators in product Hilbert spaces and applications to elliptic systems of quasilinear differential equations.
The normal form of the Navier-Stokes equations in suitable normed spaces
The obstacle problem for the -harmonic equation.
The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs.
Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces
Compactness in the space , being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961, 1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R. Temam (2001), who have provided various criteria for relative compactness, which turn out to be crucial tools in the existence proof of solutions to several abstract time dependent problems related to evolutionary PDEs. In the present paper, the problem is examined in view of Young measure theory: exploiting...
Trace inequalities for Carnot-Carathéodory spaces and applications