Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Filippas, Stathis"'
Autor:
Filippas, Stathis, Tersenov, Alkis
We obtain estimates of all components of the velocity of a 3D rigid body moving in a viscous incompressible fluid without any symmetry restriction on the shape of the rigid body or the container. The estimates are in terms of suitable norms of the ve
Externí odkaz:
http://arxiv.org/abs/2304.11887
Autor:
Filippas, Stathis, Tersenov, Alkis
Publikováno v:
In Nonlinear Analysis: Real World Applications June 2024 77
We study the Hardy inequality when the singularity is placed on the boundary of a bounded domain in $\mathbb{R}^n$ that satisfies both an interior and exterior ball condition at the singularity. We obtain the sharp Hardy constant $n^2/4$ in case the
Externí odkaz:
http://arxiv.org/abs/1701.06336
We take advantage of a rigidity result for the equation satisfied by an extremal function associated with a special case of the Caffarelli-Kohn-Nirenberg inequalities to get a symmetry result for a larger set of inequali-ties. The main ingredient is
Externí odkaz:
http://arxiv.org/abs/1412.0608
In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sob
Externí odkaz:
http://arxiv.org/abs/1409.4519
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for domains satisfying suitable geometric assumptions such as mean convexity or convexity. We then use them to produce fractional Hardy-Sobol
Externí odkaz:
http://arxiv.org/abs/1110.3604
Publikováno v:
Communications in Mathematical Physics (2010) Online first
We prove a new inequality which improves on the classical Hardy inequality in the sense that a nonlinear integral quantity with super-quadratic growth, which is computed with respect to an inverse square weight, is controlled by the energy. This ineq
Externí odkaz:
http://arxiv.org/abs/0912.0590
We obtain the sharp constant for the Hardy-Sobolev inequality involving the distance to the origin. This inequality is equivalent to a limiting Caffarelli-Kohn-Nirenberg inequality. In three dimensions, in certain cases the sharp constant coincides w
Externí odkaz:
http://arxiv.org/abs/0911.0948
In this article we first establish a complete characterization of Hardy's inequalities in $\mathbb{R}^n$ involving distances to different codimension subspaces. In particular the corresponding potentials have strong interior singularities. We then pr
Externí odkaz:
http://arxiv.org/abs/0911.0942
We consider operators of the form ${\mathcal L}=-L-V$, where $L$ is an elliptic operator and $V$ is a singular potential, defined on a smooth bounded domain $\Omega\subset \R^n$ with Dirichlet boundary conditions. We allow the boundary of $\Omega$ to
Externí odkaz:
http://arxiv.org/abs/0911.0947