Geodesic
Potential theory in the class of $m$-subharmonic functions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 166-192.

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A potential theory for the equation $(dd^\mathrm cu)^m\wedge\beta^{n-m}=f\beta^n$, $1\le m\le n$, is developed. The corresponding notions of $m$-capacity and $m$-subharmonic functions are introduced, and their properties are studied. 
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A. Sadullaev; B. Abdullaev. Potential theory in the class of $m$-subharmonic functions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 166-192. http://geodesic.mathdoc.fr/item/TM_2012_279_a10/

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