Results 81 to 90 of about 579 (168)

Holder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains [PDF]

, 1990
Let D a bounded strictly pseudoconvex non-smooth domain in C'. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ∂-equation with Lp-data in regular strictly pseudoconvex domains (see[2]) are also valid for D .
J. M. Burgués, Burgués i Badia, Josep Ma   +1 more
core   +1 more source

The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]

Arch Ration Mech Anal, 2023
Holzegel G, Shao A.
europepmc   +1 more source

Regularity of varieties in strictly pseudoconvex domains

, 2021
We prove a theorem on the boundary regularity of a purely p-dimensional complex subvariety of a relatively compact, strictly pseudoconvex domain in a Stein manifold. Some applications describing the structure of the polynomial hull of closed curves in C"
Forstneric, Franc
core  

A GEHRING-HAYMAN INEQUALITY FOR STRONGLY PSEUDOCONVEX DOMAINS

, 2023
International audienceAbstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-smooth boundary, then the length of a geodesic for the Kobayashi–Royden infinitesimal metric between two points is bounded by a constant ...
Nikolov, Nikolai, Thomas, Pascal, J, Kosiński, Łukasz   +2 more
core   +1 more source

Subelliptic estimates and regularity of ∂ ̄ at the boundary of a Q-pseudoconvex domain of finite type

, 2011
We prove subelliptic estimates in degree k ≥ q for the ̄∂-Neumann problem over a domain Ω ⊂⊂ Cn which is weakly q-pseudoconvex and satisfies in addition a finite bracket type ...
Heungju Ahn, BARACCO, LUCA, ZAMPIERI, GIUSEPPE   +2 more
core  

Construction of labyrinths in pseudoconvex domains

, 2020
International audienceWe build in a given pseudoconvex (Runge) domain D of C N an O(D)-convex set Γ, every connected component of which is a holomorphically contractible (convex) compact set, enjoying the property that any continuous path γ : [0, 1) → D ...
Charpentier, Stéphane, Kosiński, Łukasz   +1 more
core   +1 more source

Formulas for approximate solutions of the -equation in a strictly pseudoconvex domain

, 1995
Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i??`u = ?, ? being an exact (1,1)-form in D.
Carlsson, H., Andersson, Mats
core  

A parametrix for the ∂̄-Neumann problem on pseudoconvex domains of finite type

, 2004
We construct a parametrix for the ∂̄-Neumann problem on any pseudoconvex domain of finite type which reduces completely the study of (isotropic) Lp-Sobolev and Hölder estimates to those for ∂̄b and □b.
Koenig, Kenneth D
core   +1 more source

Ellipsoids in pseudoconvex domains

We consider the problem of maximizing the volume of hermitian ellipsoids inscribed in a given pseudoconvex domain in complex Euclidean space. We prove existence and uniqueness, and give a characterization of the maximizer.
openaire   +2 more sources

Visibility domains that are not pseudoconvex

Bulletin des Sciences Mathématiques
The earliest examples of visibility domains, given by Bharali--Zimmer, are pseudoconvex. In fact, all known examples of visibility domains are pseudoconvex. We show that there exist non-pseudoconvex visibility domains. We supplement this proof by a general method to construct a wide range of non-pseudoconvex, hence non-Kobayashi-complete, visibility ...
openaire   +3 more sources