Zobrazeno 1 - 10
of 163
pro vyhledávání: '"Mourgoglou, Mihalis"'
Autor:
Mourgoglou, Mihalis, Tolsa, Xavier
Let $\Omega \subset \mathbb{R}^{n+1}$ be a bounded chord-arc domain, let $\mathcal L=-{\rm div} A\nabla$ be an elliptic operator in $\Omega$ associated with a matrix $A$ having Dini mean oscillation coefficients, and let $1
Externí odkaz:
http://arxiv.org/abs/2407.20385
We prove $L^p$ quantitative differentiability estimates for functions defined on uniformly rectifiable subsets of the Euclidean space. More precisely, we show that a Dorronsoro-type theorem holds in this context: the $L^p$ norm of the gradient of a S
Externí odkaz:
http://arxiv.org/abs/2306.13017
Let $\Omega\subset \mathbb R^{n+1}$, $n\geq2$, be an open set satisfying the corkscrew condition with $n$-Ahlfors regular boundary $\partial\Omega$, but without any connectivity assumption. We study the connection between solvability of the regularit
Externí odkaz:
http://arxiv.org/abs/2306.06185
Let $\Omega \subset \mathbb{R}^{n+1}$, $n\geq 1$, be an open set with $s$-Ahlfors regular boundary $\partial \Omega$, for some $s \in(0,n]$, such that either $s=n$ and $\Omega$ is a corkscrew domain with the pointwise John condition, or $s
Externí odkaz:
http://arxiv.org/abs/2303.10717
In this work we extend many classical results concerning the relationship between densities, tangents and rectifiability to the parabolic spaces, namely $\mathbb{R}^{n+1}$ equipped with parabolic dilations. In particular we prove a Marstrand-Mattila
Externí odkaz:
http://arxiv.org/abs/2211.04222
We prove that the $L^{p'}$-solvability of the homogeneous Dirichlet problem for an elliptic operator $L=-\operatorname{div}A\nabla$ with real and merely bounded coefficients is equivalent to the $L^{p'}$-solvability of the Poisson Dirichlet problem $
Externí odkaz:
http://arxiv.org/abs/2207.10554
Publikováno v:
In Journal of Functional Analysis 1 January 2025 288(1)
We consider a uniformly elliptic operator $L_A$ in divergence form associated with an $(n+1)\times(n+1)$-matrix $A$ with real, merely bounded, and possibly non-symmetric coefficients. If $$\omega_A(r)=\sup_{x\in \mathbb{R}^{n+1}} \frac{1}{|B(x,r)|}\i
Externí odkaz:
http://arxiv.org/abs/2112.07332
Autor:
Mourgoglou, Mihalis, Tolsa, Xavier
Let $\Omega \subset \mathbb{R}^{n+1}$, $n\geq 2$, be a bounded open and connected set satisfying the corkscrew condition with uniformly $n$-rectifiable boundary. In this paper we study the connection between the solvability of $(D_{p'})$, the Dirichl
Externí odkaz:
http://arxiv.org/abs/2110.02205
Autor:
Mourgoglou, Mihalis, Puliatti, Carmelo
We develop a method to study the structure of the common part of the boundaries of disjoint and possibly non-complementary time-varying domains in $\mathbb{R}^{n+1}$, $n \geq 2$, at the points of mutual absolute continuity of their respective caloric
Externí odkaz:
http://arxiv.org/abs/2008.06968