Symmetry properties of semilinear elliptic equations with isolated singularities
Name
166530672-MIT.pdf
Description
Full printable version
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2.42 MB
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Author(s)
Drugan, Gregory (Gregory Michael)
Advisor(s)
David Jerison.
Date Issued
2007
Publisher
Massachusetts Institute of Technology
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. 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+.
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.
Includes bibliographical references (p. 79-80).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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