A THEOREM OF PHRAGMÉN-LINDELÖF TYPE FOR SUBFUNCTIONS IN A CONE

DOI10.1017/S0017089511000164zbMath1229.31004MaRDI QIDQ3094644

Lei Qiao, Guan Tie Deng

Publication date: 25 October 2011

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemSchrödinger operatorPhragmén-Lindelöf theoremsubfunction\(a\)-harmonic majorant

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (6)

Matsaev's type theorems for solutions of the stationary Schrödinger equation and its applications ⋮ Criteria of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone ⋮ Some properties for a subfunction associated with the stationary Schrödinger operator in a cone ⋮ A general Phragmén-Lindelöf principle for weak solutions of the Schrödinger equation and its applications ⋮ Some remarks on Phragmén-Lindelöf theorems for weak solutions of the stationary Schrödinger operator ⋮ GENERALIZATION OF THE PHRAGMÉN–LINDELÖF THEOREMS FOR SUBFUNCTIONS

Cites Work

• Harmonic majorization of a subharmonic function on a cone or on a cylinder
• Uniqueness for the \(n\)-dimensional half space Dirichlet problem
• Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I
• Harmonic Function Theory
• Schrödinger semigroups
• Nevanlinna Norm of a Subharmonic Function on a Cone or on a Cylinder
• Elliptic Partial Differential Equations of Second Order
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone

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