On compact Hermitian manifolds, degenerate Monge-Ampere equations are solvable for non-closed pseudoeffective (1,1)-forms with positive Bott-Chern volume and a bounded potential, with stability estimates.
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Degenerate complex Monge-Amp\`ere type equations on compact Hermitian manifolds and applications II
On compact Hermitian manifolds, degenerate Monge-Ampere equations are solvable for non-closed pseudoeffective (1,1)-forms with positive Bott-Chern volume and a bounded potential, with stability estimates.