[Algebra and Analysis Seminar]
Roger Moser (University of Bath)
A variational problem in L-infinity involving the Laplacian
Suppose that we want to minimise the L-infinity norm of the Laplacian of a function (or of another quantity involving the Laplacian) under Dirichlet boundary conditions. Under quite weak assumptions on the domain and the boundary data, it turns out that we have a unique minimiser (which is quite unexpected for a variational problem of this sort) and we have a lot of information about its structure. This is joint work with Nikos Katzourakis (Reading).
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