Article ID Journal Published Year Pages File Type
5774497 Journal of Mathematical Analysis and Applications 2017 30 Pages PDF
Abstract
We investigate an overdetermined problem for the torsion equation Δu=−1 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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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