Complex Hessian equation

The aim of the paper "Uniqueness properties of m-subharmonic functions in Cegrell classes" is to provide sufficient conditions for unicity of m-subharmonic functions. Since two plurisubharmonic functions may equal on an open subset of a domain without being identical (e.g. u ≡ 0 and v(z) = max(log |z|, 0)), it seems natural to put additional assumptions on Hessian measures of u and v to guarantee that u ≡ v on the whole domain Ω.

15p runordie3 27-06-2022 23 2   Download