Growth properties of Green-Sch potentials at infinity

DOI10.1186/s13661-014-0245-9zbMath1305.35025OpenAlexW2069282603WikidataQ59324459 ScholiaQ59324459MaRDI QIDQ481606

Tao Zhao, Alexander jun. Yamada

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0245-9

zbMATH Keywords

conegrowth propertyGreen-Sch potentialstationary Schrödinger operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Retraction note: ``Growth properties of Green-Sch potentials at infinity ⋮ Retracted: Sharp geometrical properties of \(a\)-rarefied sets via fixed point index for the Schrödinger operator equations ⋮ A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant ⋮ Retraction note: ``Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations

Cites Work

• A remark on the a-minimally thin sets associated with the Schrödinger operator
• Two criterions of Wiener type for minimally thin sets and rarefied sets in a cone
• Integral representations for harmonic functions of infinite order in a cone
• RETRACTED: Minimally thin sets associated with the stationary Schrödinger operator
• Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone
• Asymptotic behavior of solutions of elliptic equations of the second order close to a boundary. I
• Schrödinger semigroups
• Elliptic Partial Differential Equations of Second Order
• Integral representations of harmonic functions in a cone
• The Riesz decomposition theorem for superharmonic functions in a cone and its application
• Minimally thin sets at in nity with respect to the Schröingeroperator
• A lower bound of harmonic functions in a cone and its application
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