From the 1 of 8 linked papers with an AI index.
1 citations · 1 across the 2 of their papers we have counts for
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Solvability of the Neumann problem for elliptic equations in chord-arc domains with very big pieces of good superdomains
Mihalis Mourgoglou, Xavier Tolsa
The paper proves that for a bounded chord-arc domain with Dini‑oscillating coefficients, if the regularity problem is solvable in some L^q (q>p), the boundary satisfies a weak p‑Po…
The dimension of planar elliptic measures arising from Lipschitz matrices in Reifenberg flat domains
Ignasi Guillén-Mola, Ignasi Guillén-Mola, Martà Prats +2
In this paper we show that, given a planar Reifenberg flat domain with small constant and a divergence form operator associated to a real (not necessarily symmetric) uniformly elli…
Solvability of the Poisson-Dirichlet problem with interior data in -Carleson spaces and its applications to the -regularity problem
Mihalis Mourgoglou, Bruno Poggi, Xavier Tolsa
We prove that the -solvability of the homogeneous Dirichlet problem for an elliptic operator with real and merely bounded coefficients is equ…
A counterexample regarding a two-phase problem for harmonic measure in VMO
Xavier Tolsa
Let be a vanishing Reifenberg flat domain such that and have joint big pieces of chord-arc subdo…
Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's conjecture in higher dimensions
Ian Fleschler, Xavier Tolsa, Michele Villa
The main aim of this article is to prove quantitative spectral inequalities for the Laplacian with Dirichlet boundary conditions. More specifically, we prove sharp quantitative sta…