Global regularity for the \(\bar{\delta}\)-Neumann operator and bounded plurisubharmonic exhaustion functions
From MaRDI portal
Publication:643445
DOI10.1016/j.aim.2011.07.008zbMath1238.32030OpenAlexW2040850956MaRDI QIDQ643445
Publication date: 28 October 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2011.07.008
Smoothness and regularity of solutions to PDEs (35B65) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Exhaustion functions (32T35)
Related Items
Equivalence of estimates on a domain and its boundary ⋮ The Diederich-Fornaess index and the regularities on the \bar{\partial}-Neumann problem ⋮ The Diederich-Fornaess index and the global regularity of the \(\bar \partial\)-Neumann problem ⋮ The core of the Levi distribution ⋮ The Kohn-Laplace equation on abstract CR manifolds: Global regularity ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ The ∂¯-Neumann operator with Sobolev estimates up to a finite order ⋮ Unnamed Item ⋮ The Diederich-Fornaess index and good vector fields ⋮ On competing definitions for the Diederich-Fornæss index ⋮ A geometric approach to Catlin's boundary systems ⋮ The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- A note on plurisubharmonic defining functions in \({\mathbb{C}^{n}}\)
- Sobolev estimates for the Cauchy-Riemann complex on \(C^{1}\) pseudoconvex domains
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Behavior of the Bergman projection on the Diederich-Fornæss worm
- Pseudoconvex domains: An example with nontrivial nebenhuelle
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- A Sobolev mapping property of the Bergman kernel
- A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
- A sufficient condition for global regularity of the \(\bar {\partial}\)-Neumann operator
- Regularity of the Bergman projection on forms and plurisubharmonicity conditions
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Harmonic integrals on strongly pseudo-convex manifolds. II
- A Remark on Bounded Strictly Plurisubharmonic Exhaustion Functions
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Non‐coercive boundary value problems
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains
