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Global analytic hypoellipticity of the ?-Neumann problem on circular domains.

So-Chin Chen (1988)

Inventiones mathematicae

Global boundary regularity for the $\bar{p a r t i a l}$ -equation on $q$ -pseudo-convex domains

Heungju Ahn (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

For a bounded domain $D$ of $C^{n}$ , we introduce a notion of « $q$ -pseudoconvexity» of new type and prove that for a given $\bar{\partial}$ -closed $(p, r)$ -form $f$ that is smooth up to the boundary on $D$ , and for $r \geq q$ , there exists a $(p, r - 1)$ -form $u$ smooth up to the boundary on $D$ which is a solution of the equation $\bar{\partial} u = f$

Global Real Analyticity of Solutions to the ...-Neumann Problem.

So-Chin Chen (1988)

Mathematische Zeitschrift

Global regularity of the ...-Neumann problem on circular domains.

So-Chin Chen (1989)

Mathematische Annalen

Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds.

László Lempert, Róbert Szöke (1991)