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Michael Hardy
Michael Hardy
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The now famous infnity laplacian is the equations $$ <D^2u Du,Du>=0 $$$$ \langle D^2u Du,Du\rangle=0 $$ and the normalized infnity laplacian is $$ <D^2u Du/|Du|,Du/|Du|>=0. $$$$ \langle D^2u Du/|Du|,Du/|Du|\rangle=0. $$ Is a viscosity solution of one PDE a solution of another PDE? And what about the respective inhomogenuous equations? I would appreciate a proof or references.

The now famous infnity laplacian is the equations $$ <D^2u Du,Du>=0 $$ and the normalized infnity laplacian is $$ <D^2u Du/|Du|,Du/|Du|>=0. $$ Is a viscosity solution of one PDE a solution of another PDE? And what about the respective inhomogenuous equations? I would appreciate a proof or references.

The now famous infnity laplacian is the equations $$ \langle D^2u Du,Du\rangle=0 $$ and the normalized infnity laplacian is $$ \langle D^2u Du/|Du|,Du/|Du|\rangle=0. $$ Is a viscosity solution of one PDE a solution of another PDE? And what about the respective inhomogenuous equations? I would appreciate a proof or references.

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user29999
user29999
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What's the relation between viscosity solutions of infinity harmonic functions and normalized infinity harmonic functions?

The now famous infnity laplacian is the equations $$ <D^2u Du,Du>=0 $$ and the normalized infnity laplacian is $$ <D^2u Du/|Du|,Du/|Du|>=0. $$ Is a viscosity solution of one PDE a solution of another PDE? And what about the respective inhomogenuous equations? I would appreciate a proof or references.