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Sharp estimates for the Green function, 3G inequalities, and nonlinear schrödinger problems in uniform cones

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83885

Title: Sharp estimates for the Green function, 3G inequalities, and nonlinear schrödinger problems in uniform cones
Authors: Hirata, Kentaro Browse this author
Keywords: Green function
Martin kernel
3G inequality
Cranston-McConnell inequality
Kato class
nonlinear Schr¨odinger equation
Issue Date: 2005
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 735
Start Page: 1
End Page: 18
Abstract: We find and prove sharp estimates for the Green function and 3G inequalities in uniform cones. Estimates are applied to give equivalent conditions for measures to satisfy the generalized Cranston-McConnell inequality, and to show the existence of infinitely many continuous solutions to nonlinear Schr¨odinger problems.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69543
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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