Solution to the triharmonic heat equation.
Some priori estimates about solutions to nonhomogeneous -harmonic equations.
Sur une notion de limite d'une ultradistribution en un point. I
Symmetry properties for the extremals of the Sobolev trace embedding
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
Vector spaces over function fields. Vector spaces over analytic function fields being associated to ordinary differential equations.
-convergence of nonlinear monotone operators in perforated domains with holes of small size
This paper is devoted to the homogenization beyond the periodic setting, of nonlinear monotone operators in a domain in with isolated holes of size ( a small parameter). The order of the size of the holes is twice that of the oscillations of the coefficients of the operator, so that the problem under consideration is a reiterated homogenization problem in perforated domains. The usual periodic perforation of the domain and the classical periodicity hypothesis on the coefficients of the operator...