A new singularity comparison for plurisubharmonic functions is defined via Bedford-Taylor capacity, yielding comparison principles for the Monge-Ampère operator on pluripolar sets and a uniqueness result.
Cegrell, A general Dirichlet problem for the complex Monge–Amp\` e re operator, Ann
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Comparison principles for Monge-Amp\`ere measures on pluripolar sets
A new singularity comparison for plurisubharmonic functions is defined via Bedford-Taylor capacity, yielding comparison principles for the Monge-Ampère operator on pluripolar sets and a uniqueness result.