Does anyone know if the method of moving planes could be used to obtain radial symmetry of the solution of ellitptic equation with gradient?

Chen Huyuan @Chen_Huyuan

06 June 2015 1 5K Report

To prove the radial symmetry, the method of moving plane is a very useful tool.

But how to do the moving planes for equations like

-\Delta u =|\nable u|^p in B_1,

u=0 on \partial B_1(0).

Robert Stańczy

I doubt it as it relies on maximum principle.

Here he have plenty of constant sols to eq.

Look up the book of Dupaigne eg for refs.

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