Can a homeomorphic harmonic mapping $f=(u,v,w):\Omega\to \Omega'$ have isolated singular points. Here $\Delta f =0$, and singular point is a point with zero Jacobian. This will extend Lewy theorem for q.c. harmonic mappings.
2
-
1$\begingroup$ Where in the question are the polynomials of degree 3 promised in the title? $\endgroup$– Gerry MyersonCommented Mar 3, 2015 at 11:20
-
$\begingroup$ Maybe you could also explain why this question is interesting, i.e., where does it arise naturally? Otherwise, it appears to be a random question that probably won't provoke much of any response. $\endgroup$– Robert BryantCommented Mar 3, 2015 at 12:23
Add a comment
|