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On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations
| Title: | On strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations |
| Authors: | Giga, Yoshikazu Browse this author | | Ohnuma, Masaki Browse this author |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 719 |
| Start Page: | 1 |
| End Page: | 24 |
| Abstract: | The strong comparison principle for semicontinuous viscosity solutions of some nonlinear elliptic equations are considered For linear elliptic equations it is well known that the strong comparison principle is equivalent to the strong maximum principle However for nonlinear equations the strong maximum principle may not imply the strong comparison principle We establish a strong comparison principle for some nonlinaer elliptic equations including the minimal surface equation |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69528 |
| 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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