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Sharp estimates for the Green function, 3G inequalities, and nonlinear schrödinger problems in uniform cones
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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