Some properties of exponentially harmonic maps
Some properties of Legendre functions and related applications.
Some properties of Palais-Smale sequences with applications to elliptic boundary-value problems.
Some properties of reachable solutions of nonlinear elliptic equations with measure data
Some properties of Riesz means and spectral expansions. (With an appendix by R. A. Gustafson).
Some properties of solutions for a class of metaparabolic equations.
Some properties of solutions for the generalized thin film equation in one space dimension.
Some properties of solutions of the pseudo-parabolic equation.
Some properties of stationary parabolic mixed problems in an infinite cylinder
Some properties of the Feynman-Kac functional.
Some properties of two-scale convergence
We reformulate and extend G. Nguetseng’s notion of two-scale convergence by means of a variable transformation, and outline some of its properties. We approximate two-scale derivatives, and extend this convergence to spaces of differentiable functions. The two-scale limit of derivatives of bounded sequences in the Sobolev spaces , , and is then characterized. The two-scale limit behaviour of the potentials of a two-scale convergent sequence of irrotational fields is finally studied.
Some properties of weighted Sobolev spaces in
Some qualitative problems in the theory of second order partial differential equations
Some qualitative problems of the linear elasticity theory.
Some recent results on blow-up on the boundary for the heat equation
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.
Some recent results on the Muskat problem
We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.
Some regularity results for a family of variational inequalities
Some Regularity Results for Quasilinear Elliptic Systems of Second Order.