Some Regularity Results for Quasilinear Elliptic Systems of Second Order.
Some regularity results for quasilinear parabolic systems
Some regularity theorems in riemannian geometry
Some regularizing methods for transport equations and the regularity of solutions to scalar conservation laws
We study several regularizing methods, stationary phase or averaging lemmas for instance. Depending on the regularity assumptions that are made, we show that they can either be derived one from the other or that they lead to different results. Those are applied to Scalar Conservation Laws to precise and better explain the regularity of their solutions.
Some remarkable properties of -graphs.
Some remarks on a second order evolution equation.
Some remarks on bounded and unbounded weak solutions of elliptic systems.
Some remarks on global solutions to nonlinear dissipative mildly degenerate Kirchhoff strings
Some remarks on gradient estimates for heat kernels.
Some remarks on -valued functions
Some Remarks on the Homogenization of the Dam Problem.
Some remarks on the Navier-Stokes equations with regularity in one direction
We review the developments of the regularity criteria for the Navier-Stokes equations, and make some further improvements.
Some remarks on the number of solutions of some nonlinear elliptic problems
Some remarks on the regularity of weak solutions of degenerate elliptic systems.
Some remarks on two-scale convergence and periodic unfolding
The paper discusses some aspects of the adjoint definition of two-scale convergence based on periodic unfolding. As is known this approach removes problems concerning choice of the appropriate space for admissible test functions. The paper proposes a modified unfolding which conserves integral of the unfolded function and hence simplifies the proofs and its application in homogenization theory. The article provides also a self-contained introduction to two-scale convergence and gives ideas for generalization...
Some results about blow-up and global existence to a semilinear degenerate heat equation.
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
Some results in viscoelasticity theory via a simple perturbation argument
Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type
Some results on the asymptotic behaviour of Hopf weak solutions to the Navier-Stokes equations in unbounded domains.