Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774497 | Journal of Mathematical Analysis and Applications | 2017 | 30 Pages |
Abstract
We investigate an overdetermined problem for the torsion equation Îu=â1 in an unbounded domain in R3. Under some additional conditions, we show that the solution is a one-dimensional quadratic function and that the boundary of the domain is a pair of parallel planes. The proof is based on the maximum principle.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wang Lizhou,