Global solvability and regularity for ∂¯ on an annulus between two weakly convex domains which satisfy property (P)

DOI10.1142/S1793557119500414zbMath1415.32010OpenAlexW2802213799MaRDI QIDQ4966678

Sayed Saber

Publication date: 27 June 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500414

zbMATH Keywords

weakly \(q\)-convex domains\(\overline{\partial}\) and \(\overline{\partial}\)-Neumann operators

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) (q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Variational methods for second-order elliptic equations (35J20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

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Cites Work

• Global regularity of \(\overline\partial\) on an annulus between a \(Q\)-pseudoconvex and a \(P\)-pseudoconcave boundary
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Global regularity of the \(\bar\partial\)-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (P)
• Global regularity for \(\overline{\partial}\) on an annulus between two weakly convex domains
• Compactness of the weighted dbar-Neumann operator and commutators of the Bergman projection with continuous functions
• Global Solvability and Regularity for $\overline\partial$ on an Annulus Between Two Weakly Pseudo-Convex Domains
• Compactness of the $\overline\partial$-Neumann Operator
• Non‐coercive boundary value problems
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