Symmetry properties of semilinear elliptic equations with isolated singularities
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2007
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| Online Access: | http://hdl.handle.net/1721.1/38999 |
| _version_ | 1811081029917605888 |
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| author | Drugan, Gregory (Gregory Michael) |
| author2 | David Jerison. |
| author_facet | David Jerison. Drugan, Gregory (Gregory Michael) |
| author_sort | Drugan, Gregory (Gregory Michael) |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. |
| first_indexed | 2024-09-23T11:40:40Z |
| format | Thesis |
| id | mit-1721.1/38999 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T11:40:40Z |
| publishDate | 2007 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/389992019-04-10T12:25:21Z Symmetry properties of semilinear elliptic equations with isolated singularities Drugan, Gregory (Gregory Michael) David Jerison. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007. Includes bibliographical references (p. 79-80). In this thesis we use the method of moving planes to establish symmetry properties for positive solutions of semilinear elliptic equations. We give a detailed proof of the result due to Caffarelli, Gidas, and Spruck that a solution in the punctured ball, B\{0}, behaves asymptotically like its spherical average at the origin. We also show that a solution with an isolated singularity in the upper half space Rn+ must be cylindrically symmetric about some axis orthogonal to the boundary aRn+. by Gregory Drugan. S.M. 2007-09-28T13:30:03Z 2007-09-28T13:30:03Z 2007 2007 Thesis http://hdl.handle.net/1721.1/38999 166530672 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 80 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Drugan, Gregory (Gregory Michael) Symmetry properties of semilinear elliptic equations with isolated singularities |
| title | Symmetry properties of semilinear elliptic equations with isolated singularities |
| title_full | Symmetry properties of semilinear elliptic equations with isolated singularities |
| title_fullStr | Symmetry properties of semilinear elliptic equations with isolated singularities |
| title_full_unstemmed | Symmetry properties of semilinear elliptic equations with isolated singularities |
| title_short | Symmetry properties of semilinear elliptic equations with isolated singularities |
| title_sort | symmetry properties of semilinear elliptic equations with isolated singularities |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/38999 |
| work_keys_str_mv | AT drugangregorygregorymichael symmetrypropertiesofsemilinearellipticequationswithisolatedsingularities |