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Hokkaido University Preprint Series in Mathematics >
The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations
| Title: | The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations |
| Authors: | Hirata, Kentaro Browse this author |
| Keywords: | boundary growth | | superharmonic function | | nonlinear elliptic equation |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 814 |
| Start Page: | 1 |
| End Page: | 17 |
| Abstract: | We investigate the boundary growth of positive superharmonic functions on a bounded domain satisfying a certain nonlinear elliptic inequality. The result is applied to show the Harnack inequality for such superharmonic functions. Also, we study the existence of positive solutions, with singularity on the boundary, of elliptic equations with nonlinear term conditioned by the generalized Kato class. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69622 |
| 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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