Journal article 284 views
Symmetry for a general class of overdetermined elliptic problems
Friedemann Brock
Nonlinear Differential Equations and Applications NoDEA, Volume: 23, Issue: 3
Swansea University Author: Friedemann Brock
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DOI (Published version): 10.1007/s00030-016-0390-1
Abstract
We show that solutions to a general class of overdetermined problems for degenerate elliptic equations can be situated only in a ball. Moreover, the solutions satisfysome “local” kind of symmetry. The proof is based on the method of continuous Steiner symmetrization
| Published in: | Nonlinear Differential Equations and Applications NoDEA |
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| ISSN: | 1021-9722 1420-9004 |
| Published: |
Springer Science and Business Media LLC
2016
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa48745 |
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| Abstract: |
We show that solutions to a general class of overdetermined problems for degenerate elliptic equations can be situated only in a ball. Moreover, the solutions satisfysome “local” kind of symmetry. The proof is based on the method of continuous Steiner symmetrization |
|---|---|
| Keywords: |
degenerate elliptic equation, overdetermined boundary value problem, symmetry of the solution, continuous rearrangement |
| College: |
Faculty of Science and Engineering |
| Issue: |
3 |