scientific article

zbMath0583.32046MaRDI QIDQ3708305

Zbigniew Slodkowski

Publication date: 1984

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1984_4_11_2_303_0

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zbMATH Keywords

Dirichlet problemp-plurisubharmonic functionsq-plurisubharmonic functions

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Pluriharmonic and plurisubharmonic functions (31C10) (q)-convexity, (q)-concavity (32F10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Plurisubharmonic functions and generalizations (32U05)

Related Items (15)

Minimal kernels of weakly complete spaces ⋮ Foliations of continuous q-pseudoconcave graphs ⋮ On convex hulls and pseudoconvex domains generated by \(q\)-plurisubharmonic functions. III. ⋮ Local maximum property and q-plurisubharmonic functions in uniform algebras ⋮ On convex hulls and pseudoconvex domains generated by \(q\)-plurisubharmonic functions. II ⋮ The largest eigenvalue of a convex function, duality, and a theorem of Slodkowski ⋮ Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient ⋮ A generalization of the \(q\)-convex case of a theorem of Fornæss and Narasimhan ⋮ Maximal \(q\)-plurisubharmonic functions in \(\mathbb{C}^n\) ⋮ The Bremermann-Dirichlet problem for unbounded domains of \({\mathbb{C}}^n\) ⋮ The restriction theorem for fully nonlinear subequations ⋮ On convex hulls and pseudoconvex domains generated by \(q\)-plurisubharmonic functions. I ⋮ Complex Interpolation of Normed and Quasinormed Spaces in Several Dimensions. II. Properties of Harmonic Interpolation ⋮ Dirichlet duality and the nonlinear Dirichlet problem ⋮ Complex Interpolation of Normed and Quasinormed Spaces in Several Dimensions. I

Cites Work

• Local maximum property and q-plurisubharmonic functions in uniform algebras
• The Dirichlet problem for a complex Monge-Ampère equation
• q-plurisubharmonic functions and a generalized Dirichlet problem
• On a Generalized Dirichlet Problem for Plurisubharmonic Functions and Pseudo-Convex Domains. Characterization of Silov Boundaries
• On a Conjecture of Hunt and Murray Concerning q-Plurisubharmonic Functions
• Convex Analysis
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