{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/38999"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/38999","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Symmetry properties of semilinear elliptic equations with isolated singularities","abstract":"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. 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