GENERALIZATION OF THE PHRAGMÉN–LINDELÖF THEOREMS FOR SUBFUNCTIONS

DOI10.1142/S0129167X13500626zbMath1277.31009OpenAlexW2153471387MaRDI QIDQ2855482

Lei Qiao, Guo-Shuang Pan

Publication date: 25 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500626

zbMATH Keywords

integral representationgrowth propertystationary Schrödinger operatorPoisson \(a\)-integralGreen \(a\)-potential

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (5)

A note on the boundary behavior for a modified Green function in the upper-half space ⋮ Retracted: Sharp geometrical properties of \(a\)-rarefied sets via fixed point index for the Schrödinger operator equations ⋮ A general Phragmén-Lindelöf principle for weak solutions of the Schrödinger equation and its applications ⋮ Rarefied sets at infinity associated with the Schrödinger operator ⋮ Retracted: Fixed point theorems for solutions of the stationary Schrödinger equation on cones

Cites Work

• Integral representations of harmonic functions in half spaces
• 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
• A THEOREM OF PHRAGMÉN-LINDELÖF TYPE FOR SUBFUNCTIONS IN A CONE
• Nevanlinna Norm of a Subharmonic Function on a Cone or on a Cylinder
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone

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