A two-parameter continuity path characterizes solvability of the Poincaré-type J-equation on Kähler manifolds with divisor singularities, showing subsolutions imply solutions on surfaces and K-energy boundedness under ampleness conditions.
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Poincar\'e type J-equation
A two-parameter continuity path characterizes solvability of the Poincaré-type J-equation on Kähler manifolds with divisor singularities, showing subsolutions imply solutions on surfaces and K-energy boundedness under ampleness conditions.