Criteria of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone

DOI10.1155/2012/453891zbMath1260.35026arXiv1205.6081OpenAlexW2000010279WikidataQ58695200 ScholiaQ58695200MaRDI QIDQ1925370

Pinhong Long, Zhi-Qiang Gao, Guan Tie Deng

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6081

zbMATH Keywords

conestationary Schrödinger operatorminimally thin setsrarefied sets

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

New criteria for minimal thinness and rarefiedness associated with cylindrical Schrödinger operator and their geometrical properties ⋮ RETRACTED: Minimally thin sets associated with the stationary Schrödinger operator ⋮ Rarefied sets at infinity associated with the Schrödinger operator

Cites Work

• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• On the covering properties of certain exceptional sets in a half-space
• On the behavior at infinity of non-negative superharmonic functions in a half space
• Dirichlet problem for the Schrödinger operator in a half-space with boundary data of arbitrary growth at infinity
• Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone
• Potential theory - selected topics
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I
• 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
• Conditional Gauge and Potential Theory for the Schrodinger Operator
• Elliptic Partial Differential Equations of Second Order
• The Generalized Ahlfors-Heins Theorem in Certain $d$-Dimensional Cones.
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone
• Minimal Positive Harmonic Functions
• Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace
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