On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
On the Hölder-continuity of solutions of a nonlinear parabolic variational inequality
On the homogenization of problems in the theory of elasticity on composite structures.
On the homogenization of some nonlinear problems in perforated domains
On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
In this paper we study the behavior of solutions of the boundary value problem for the Poisson equation in a partially perforated domain with arbitrary density of cavities and mixed type conditions on their boundary. The corresponding spectral problem is also considered. A short communication of similar results can be found in [1].
On the hyperbolic Dirichlet to Neumann functional.
On the influence of domain shape on the existence of large solutions of some superlinear problems.
On the instability of a class of periodic travelling wave solutions of the modified Boussinesq equation.
On the instability of ground states for a Davey-Stewartson system
On the instability of solitary-wave solutions for fifth-order water wave models.
On the instantaneous spreading for the Navier–Stokes system in the whole space
We consider the spatial behavior of the velocity field of a fluid filling the whole space () for arbitrarily small values of the time variable. We improve previous results on the spatial spreading by deducing the necessary conditions under more general assumptions on the localization of . We also give some new examples of solutions which have a stronger spatial localization than in the generic case.
On the Instantaneous Spreading for the Navier–Stokes System in the Whole Space
We consider the spatial behavior of the velocity field u(x, t) of a fluid filling the whole space () for arbitrarily small values of the time variable. We improve previous results on the spatial spreading by deducing the necessary conditions under more general assumptions on the localization of u. We also give some new examples of solutions which have a stronger spatial localization than in the generic case.
On the interior smoothness of solutions to second-order elliptic equations.
On the Keldyš-Fichera boundary-value problem for degenerate quasilinear elliptic equations.
On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
We consider the 3D quantum BBGKY hierarchy which corresponds to the -particle Schrödinger equation. We assume the pair interaction is . For the interaction parameter , we prove that, provided an energy bound holds for solutions to the BBKGY hierarchy, the limit points satisfy the space-time bound conjectured by S. Klainerman and M. Machedon [45] in 2008. The energy bound was proven to hold for in [28]. This allows, in the case , for the application of the Klainerman–Machedon uniqueness theorem...
On the -instability of fluid flows
On the -regularity of solutions of nonlinear elliptic equations in Orlicz spaces.
On the limit amplitude principle for a layer.
On the Liouville property for fully nonlinear equations
On the Liouville property for sublaplacians